Find the volume of a right circular cone that has a height of 17.7 cm and a base with a diameter of 15.8 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer 1

Answer:

[tex]1156.8cm^3[/tex]

Step-by-step explanation:

The volume of a cone is given as:

[tex]V =\frac{1}{3} \pi r^2h[/tex]

where r = radius

h = height of cone

The height of the cone is 17.7 cm and its base radius is 7.9 cm (diameter is 15.8 cm).

Its volume is:

[tex]V = \frac{1}{3} * \pi = 7.9^2 * 17.7\\ \\V = 1156.8cm^3[/tex]

Answer 2

Answer:

1157.3cm^3

Step-by-step explanation:

voume of a cone =V=πr^2h^3

Diameter = 15.8cm

Height = 17.7cm

Radius = diameter/2

= 15.8/2 = 7.9cm

Pi = 22/7

V = 22/7 ×7.9×7.9×17.7/3

= 22/7×62.41×5.9

V = 1157.25cm^3

Hence the volume of the cone is 1157.3cm^3

to the nearest 10th


Related Questions

Match each function with its domain. 1. S(x) = √x 2. H(x) = √2+x 3. Z(x) = √x-2 4. Q(x) = √2-x 5. V(x) = √-x 6. N(x) = ^3√2-x x ≤ 2 x ≥ -2 x ≥ 0 x ≥ 2 x ≤ 0 All real numbers

Answers

Answer:

1. x ≥ 0

2. x ≥ -2

3. x ≥ 2

4. x ≤ 2

5. x ≤ 0

6. All real numbers

Step-by-step explanation:

Domain of square function:

Suppose we have a square function in the following format:

[tex]f(x) = \sqrt[n]{g(x)}[/tex]

If n is even, the domain of f(x) is:

[tex]g(x) \geq 0[/tex]

Otherwise, if n is odd, the domain of f(x) is all real numbers.

1. S(x) = √x

If n does not appear is that it is 2.

g(x) = x

So the domain is:

[tex]x \geq 0[/tex]

2. H(x) = √2+x

g(x) = 2 + x

So

[tex]2 + x \geq 0[/tex]

[tex]x \geq -2[/tex]

3. Z(x) = √x-2

g(x) = x - 2

[tex]x - 2 \geq 0[/tex]

[tex]x \geq 2[/tex]

4. Q(x) = √2-x

g(x) = 2 - x

[tex]2 - x \geq 0[/tex]

[tex]-x \geq -2[/tex]

Multiplying by -1, everything

[tex]x \leq 2[/tex]

5. V(x) = √-x

g(x) = -x

Then

[tex]-x \geq 0[/tex]

Multiplying by -1

[tex]x \leq 0[/tex]

6. N(x) = ^3√2-x

Cubic root(odd number), so all real numbers.

If 12 1/2% of a sum of money is $40, what is the total sum of money?

Answers

Answer:

i think its 320

Step-by-step explanation:

i looked it up

Answer:

320

Step-by-step explanation:

To find the total sum, divide the sum of money by the percentage.

12 1/2% = 0.125

40/0.125 = 320

Can someone please help me only if you know how to do geometry thank you

Answers

Answer: SSS

The markings on the two triangles display side congruencey.

So AC is congruent to EC and etc. There are three pairs of side markings, so that means the two triangles are congruent because of the side, side side postulate.

13 points! Easy question for y’all mathy people! Ez points! Question in photo.

Answers

Answer: 1, 2, and 4

Step-by-step explanation:

The graph with straight line is an function.

The second one shows about every has two single numbers instead of more than one output.

The third one shows the points, but -1 has more than one output, show it's not an function.

The final one shows the slope intercept form and it's just an function.

Answer:

1,2,4 also

Step-by-step explanation:

find the values for a and b.

Answers

Answer:

the value of a and b is 68

Step-by-step explanation:

the other half is 224 so you minus 360 from 224 which will give us 136 then you divide by 2 to get a and b.

Answer:

a = 68, b = 136

Step-by-step explanation:

The angle in the circle = 360°, thus

b = 360 - 224 = 136

The inscribed angle a between a tangent- chord is equal to half the measure of its intercepted arc, so

a = 0.5 × 136 = 68

If 32 % of a is 1.12 then what is the value of a?

Answers

Answer:

4.5 is the value of A

Step-by-step explanation:

do it doing part/whole and cross crossing :)

32/100 because it’s a percentage and 1.12/x. 1.12 times 100 to get 112, and then 32 times x = 32x. your equation right now is 32x = 112, bur we want to get rid of that x, so we are going to divide 112/32 to get the whole of 3.5 for the value of A.

Can someone answer this i need help

Answers

All that is needed to do is to simplify the expression.

The answer to your question is:

[tex]6 x^{6}[/tex] - [tex]10 x^{3}[/tex] + [tex]8x^{2}[/tex]

Hope I helped!

The answer is 6x^6 - 10x^3 + 8x^2

How can I solve this problem?

Answers

a) 108°

Answer:

b) 54°

Step-by-step explanation:

a) By arc sum property of a circle.

[tex] m\widehat {AEB} + m\widehat {AB} = 360°\\

252° + m\widehat {AB} = 360°\\

m\widehat {AB} = 360°- 252°\\

\huge \red {\boxed {m\widehat {AB} = 108°}} \\[/tex]

b) In the given figure, DC is tangent to the circle with O at point A and AB is chord or secant. Therefore, by tangent secant theorem:

[tex] m\angle BAC = \frac{1}{2} \times m\widehat {AB}\\\\

\therefore m\angle BAC = \frac{1}{2} \times 108°\\\\

\huge \purple {\boxed {m\angle BAC = 54°}} [/tex]

A carnival ride is in the shape of a wheel with a radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit.

Answers

Answer:

[tex]12^{\circ}[/tex]  [tex]1\ feet\ and[/tex] [tex]94.28\ ft^2[/tex]

Step-by-step explanation:

Data provided in the question

The radius of a wheel = 30 feet

Number of cars attached = 30 cars

Based on the above information

The computation is shown below:

The center angle is

[tex]= \frac{360}{30}[/tex]

[tex]= 12^{\circ}[/tex]

The arc length is

[tex]= \frac{12}{360}(30)[/tex]

= 1 feet

And, the area of a sector between two cars is

[tex]= \frac{12}{360}(\pi (30)^2)[/tex]

= [tex]94.28\ ft^2[/tex]

We simply do the above calculations so that each item could be find out

Gracie is making 2 and 1/2 batches of chocolate chip cookies for her school bake sale. If one batch of cookies requires 1 and 1/4 cups of flour, how many cups of flour will she need?

Answers

Answer:

Step-by-step explanation:

What you just have to do is multiply 2 1/2 and 1 1/4, but i can still do it. 2 1/2 is the same as 5/2 , and 1 1/4 is the same as 5/4, so just multiply the top and the bottom and you will get 25/8 whicxh is basically 3 and 1/8

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!

Answers

Answer:

C. Add the equations

Step-by-step explanation:

Adding both the equations will help eliminating 5y.

Which algebraic expressions are polynomials

Answers

Answer:

2,3,5,6

Step-by-step explanation:

2,3,5,6 are the right answers

What is the value of y when x= 2.5

Answers

Answer:

The value of y is unknown bas there is no equation

Betty is now three times as old as Mickey, but in five years she will be only twice as old as Mickey. What are the respective ages of Mickey and Betty now?

Answers

Answer:15

Step-by-step explanation:

it could be 15 but (three times) is geting me off

sorry if i was no help and all the number's wow

Two Parallel lines are cut by a transversal and form a pair of alternate exterior angles. One angle measures (6x+5) and other measures (7x+4). Explain how to determine what those other angles actually measure.

Answers

Answer:

The other angles will measure 83.9° and 96.1°

Step-by-step explanation:

If two parallel lines are cut by a transversal and form a pair of alternate exterior angles, then the sum of the two exterior angles will be equal to 180° as shown;

If one angle measures (6x+5) and other measures (7x+4), then;

(6x+5)+(7x+4) = 180° (sum of two exterior angles)

Firstly, lets get the value of x from the equation.

6x+7x+9 = 180°

13x= 180-9

13x = 171

x = 171/13

x = 13.15°

The first angle 6x+5 will measure 6(13.15)+5 = 83.9°

The other angle 7x+4 will mesure 7(13.15)+4 = 96.1°

Answer:

Since the lines are parallel, the alternate exterior angles are congruent. Therefore you can set the expressions equal to each other and solve for x. Then you can substitute the value of x back into either expression to find the angle measure.

Step-by-step explanation: exact answer

Please help it’s geometry

Answers

The answer is SSS that’s probably wrong
The answer is SSS because they are all sides. SAS is side angle side, which you don’t have an angle.

A circular pool has a radius of 20 feet. What is the area of the pool? Use 3.14 for π.

Answers

Answer:

197.192

Step-by-step explanation:

The formula forthe area of a circle is 3.14r squared

so 3.14(20) 2(squared)=197.192

b) Write 1.27 x 10-2 as an
as an ordinary number.​

Answers

Answer:

10.7...........................................

There are two numbers whose sum is 47. Three times the smaller number is equal to 9 more than the larger number. What are the numbers?

Answers

answer.

14 and 33

Step-by-step explanation:

lets use x for the smaller number and y for the other

x+y=47

3x=y+9

x=47-y

3(47-y)=y+9

141-3y=y+9

put the liketerms together

141-9=3y+y

132=4y. (divide both sides by 4)

y=33

x=14

Answer:

14&33

Step-by-step explanation:

x+y=47

3x=y+9

x=47-y  

3(47-y)=y+9

141-3y=y+9

141-9=3y+y

132=4y

y=33

x=14

5xthe power of x...................

Answers

Answer:

[tex]5x^{x}[/tex]

F(x) = x^2-3x+18f(x)=x 2 −3x+18f, left parenthesis, x, right parenthesis, equals, x, squared, minus, 3, x, plus, 18 What is the value of the discriminant of fff? How many distinct real number zeros does fff have?

Answers

Answer:

No real roots or no real zeros.

Step-by-step explanation:

The given function is

[tex]f(x)=x^2-3x+18[/tex]

We need to find the number of real zeroes.

The given function is a quadratic function.

Let a quadratic function is [tex]f(x)=ax^2+bx+c[/tex].

If [tex]b^2-4ac<0[/tex], then the function has no real root.

If [tex]b^2-4ac=0[/tex], then the function has one real root with multiplicity 2.

If [tex]b^2-4ac>0[/tex], then the function has two real roots.

In the given function,

[tex]a=1,b=-3,c=18[/tex]

So,

[tex]b^2-4ac=(-3)^2-4(1)(18)=9-72=-63<0[/tex]

The value of discriminant is -63.

Therefore, the given function has no real root or no real zeros.

Answer:

The discriminant value of F is -63

F has 0 distinct real number zeros

Step-by-step explanation:

simplify 15a^6bc^4/35a^2c^4

Answers

Answer:

[tex]\dfrac{3a^4b}{7}[/tex]

Step-by-step explanation:

[tex]\dfrac{15a^6bc^4}{35a^2c^4}= \\\\\dfrac{15}{35}\times\dfrac{a^6}{a^2}\times\dfrac{c^4}{c^4}\times b= \\\\\dfrac{3}{7}\times a^4 \times 1 \times b=\\\\\boxed{\dfrac{3a^4b}{7}}[/tex]

Hope this helps!

Answer:

B

Step-by-step explanation:

The box plots represent the distributions of typing speeds of students before and after a computer-programming course.



Which statement is true about the variability of the distributions?

The interquartile range of the typing speeds after the course is greater than the interquartile range of the speeds before the course.
The interquartile ranges of the two distributions are the same.
The range of the speeds after the course is smaller than the range of the speeds before the course.
The ranges of the two distributions are the same.

Answers

Answer:

C on EDG

Step-by-step explanation:

Answer: C on edge

Step-by-step explanation:

the range of the speeds after the course is smaller than the range of the speeds before the course.

BIg Points big answer and explanations

Answers

Answer:

1/10

Step-by-step explanation:

We are hoping for 2 of the 20, and 2/20 simplified equals 1/10

C: 1/5 chance.

There are 20 possible outcomes, with 4 involving chicken and 4 involving ribs.

However, only 2 of each of those involves red sauce.  

So the possibilities of getting a red sauce with chicken or ribs is 4.

4/20 = 1/5.

Richard drives his car for 5 hours.
His average speed is 30 mph.
(a) How far does Richard travel?
miles
Richard drives 560 km the next day.
(b) Work out how much further Richard travelled, compared to the previous day.
5 miles = 8 kilometers
miles

Answers

Answer:

A. 150 miles

B. 200 miles further

Step-by-step explanation:

Multiply 30 by 5 to find how far he traveled the first day

30 x 5 = 150 miles

For the second day, convert km to miles by making a proportion

[tex]\frac{5}{8}[/tex] = [tex]\frac{x}{560}[/tex]

x = 350 miles

Then, to find the difference, subtract the 350 - 150 = 200


The data below shows how old each of Brad's eight kids were when they started kindergarten.
4
4
5
4
5
4
3
4
Using this data, create a frequency table.
Age (in years)
Number of kids
3
4
5

Answers

Answer:

Age (in years) | Number of kids

3                      | 1

4                      | 5

5                      | 2

Step-by-step explanation:

In the picture there is one 3, five 4s, and two 5s.

So that means there is 1 kid that is 3.

5 kids that are 4,

and 2 kids that are 5.

Answer:

3       1

4        5

5         2

Step-by-step explanation:

thats the anwser on khan

The angle \theta_1θ 1 ​ theta, start subscript, 1, end subscript is located in Quadrant \text{II}IIstart text, I, I, end text, and \sin(\theta_1)=\dfrac{1}{4}sin(θ 1 ​ )= 4 1 ​ sine, (, theta, start subscript, 1, end subscript, ), equals, start fraction, 1, divided by, 4, end fraction . What is the value of \cos(\theta_1)cos(θ 1 ​ )cosine, (, theta, start subscript, 1, end subscript, )?

Answers

Answer:

[tex]\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}[/tex]

Step-by-step explanation:

The angle [tex]\theta_1[/tex] is located in Quadrant II.

[tex]\sin(\theta_1)=\dfrac{1}{4}[/tex]

From trigonometry, we know that:

[tex]\sin(\theta)=\dfrac{Opposite}{Hypotenuse}\\$Therefore:\\Opposite=1\\Hypotenuse=4\\Using Pythagorean theorem:\\Hypotenuse^2=Opposite^2+Adjacent^2\\4^2=1^2+Adjacent^2\\Adjacent^2=16-1\\Adjacent^2=15\\Adjacent=\sqrt{15}[/tex]

Now, in Quadrant II,

The x-axis is negativeThe y-axis is positive

Therefore, the Adjacent angle to [tex]\theta_1 =-\sqrt{15}[/tex]

Therefore:

[tex]\cos(\theta_1)=\dfrac{Adjacent}{Hypotenuse}=\dfrac{-\sqrt{15}}{4}\\\\\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}[/tex]

An exterior angle of an isosceles triangle has a Measure 160°. Find two possible sets of measures for the angles of the triangle. If the exterior angle of the bases is 160° then the measure of the angle of each base is

Answers

Answer:

the angles would either be 20, 20, 140 or 20, 80, 80

Step-by-step explanation:

Answer:

20, 20, 140 or 20, 80, 80

Step-by-step explanation:

You have a bag of 130 strawberries. You eat 27 strawberries and then split the remaining strawberries between 4 friends. Which of the following is a good estimation of how many strawberries each of your friends get?

Answers

Answer:

Step-by-step explanation: (130-27)/4 = 25.75 im not sure how you want to round it

Answer:25

Step-by-step explanation: to round 25.75 you have to round it 25 but i believe 25.75 is less than 5 we simply remove the fractional part to get the answer.25.Hope this helped.

Janice already has $65 dollars in her savings account. If she puts $5 per week in her account, write an equation to find out how many weeks she must save to have at least $200 in her account.
2 points
Your answer

Answers

Answer: 65 + 5x ≥200

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given:

Janice's savings (65) plus the product of the amount she saves per week (5) and the number of weeks (x) must be higher or equal to $200.

Mathematically speaking:

65 + 5x ≥200

If we solve it for x:

5x ≥200-65

5x ≥135

x ≥ 135/5

x ≥ 27 weeks

Feel free to ask for more if needed or if you did not understand something.

Other Questions
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This means that many young people who play video games spend as much time gaming as others spend at a part-time job. Also, many gamers play indoors. Consider the statistic from 11th Annual MediaWise Video Game Report Card. This means that the majority of the people who play games play indoors. They rarely do any outside activities, including exercise. In addition, most gamers who play video games play alone by themselves. When they do play games with others, it's usually done online because it's convenient. While they may interact with other gamers, rarely do they get to socialize with everyday people. Not everyone who plays video games is compulsive. Many just play as a diversion. It's important for people to know that a diversion is just that, a temporary distraction. It isn't a career, it isn't family, and it isn't permanent.What sentence could be added to persuade the audience that too much gaming is harmful? A. A lack of physical activity can lead to obesity and diabetes. B. 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