The volume of a cylinder is 980 in cubed.
The height of the cylinder is 20 in. What is the radius of the cylinder?
Express your answer to the nearest hundredth.​

Answers

Answer 1

9514 1404 393

Answer:

  3.95 in

Step-by-step explanation:

The volume is given by ...

  V = πr²h

Solving for radius, we get ...

  r = √(V/(πh))

For the given numbers, the radius is ...

  r = √(980 in³/(π·20 in)) = 7/√π in ≈ 3.95 in

The radius of the cylinder is about 3.95 inches.


Related Questions

Dominic spent $8 on a book. He made $6 doing chores for a neighbor. What numbers represent the situations?
–8 and –6
–8 and 6
8 and –6
8 and 6

Answers

Answer:

-8 and 6

Step-by-step explanation:

he spent 8 on the book, therefore he had deduced 8 dollars, and earned 6, therefore he had increased 6 dollars

Answer:

I am guessing it is -8 and 6

Step-by-step explanation:

If Dominic spent $8 on a book, but only made $6, I believe it wil be -8, because he spent 8, and 6 because it's what he earned.

Hope this helps! :)

Alexandra buys sweatshirts for $12 each. In her store, she sells each sweatshirt for $30. Part A. As part of promotion, Alexandra discount the college sweatshirts by 25%. If a customer purchases 2 college sweatshirts at a sales tax of 4%, what is the total price for this customer? Show your work or explain your answer. Part B. During a clearance sale, Alexandra discount the Halloween sweatshirts by 55%. What is the percentage of profit Alexandra will make on each Halloween sweatshirt she sales? Show your work or explain your answer. Write an equation to find the amount of simple interest, A, earned on a $600 investment after 1½ years if the interest rate is 2%.

Answers

Answer:

Step-by-step explanation:

will y=2 (x-3)²-7 make a parabola or a circle

Answers

Answer:

Parabola

Step-by-step explanation:

Answer:

HEY BABY

Step-by-step explanation:

Eight is less than 4 times another number can be shown by the inequality 8 < 4n. Choose the answer that make this inequality a true statement.

Answers

Answer:

n < 2

Step-by-step explanation:

Let

The unknown number = n

8 < 4n

n < 8 / 4

n < 2

therefore, n must be less than 2

If n = 2

Then, 8 Will be equal to 4 times the number

Pls help?!?!? With this

Answers

Answer:

7 buses. 52÷ 8 = 6.5 so rounding up to 7

If Greg Has 15 Jars of Cookies, and there are 143 cookies IN TOTAL how many cookies are left over after EQUALLY distributing them.

WILL GIVE BRAINLIEST!!!!!!

Answers

Answer:

8 cookies left over

Step-by-step explanation:

use long division.

divide 143 by 15.the remainder is 8

The point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2). What are the coordinates of P'? P'(1, 2) P'(1, 1) P'(1, –3) P'(4, 4)

Answers

Answer:

(1, -3)

Step-by-step explanation:

If the point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2).

To get the coordinate of P', we will replace x as 6 and y as -1 in the translation given as shown

Coordinate of P' = (6 -5, -1, -2)

Coordinate of P' = (1, -3)

hence the coordinate of P' is (1, -3)

Answer:

p'(1 -3)

Step-by-step explanation:

Write the ratio as a fraction in the simplest form. 3 2/5 to 1 4/5 2 4 3 / to 1 / 5 5

Answers

Answer:

a) 17/9

b) 25/39

Step-by-step explanation:

a)  3 2/5 to 1 4/5

17/5 to 9/5

The ration of fractions is 17/5 / 9/5  = 17/9

b) 2 4 /3  to 1 / 5 5

10/3 to 26/5

25/39

The circumference of a circle is 177 ft. Find its diameter, in feet.

Answers

Answer:

56.3408 ft

Step-by-step explanation:

Please help. “describe the transformation that, when applied to the graph of y=cos x, the result in the graph of y = - 2 cos ⁡ ( 1 /8 ( x - π /3 ) ] + 1”

Answers

Answer:0

Step-by-step explanation:

-1

El Sr. Davis compra 30 entradas para que el club de teatro asista a una obra. Las entradas cuestann dólares cada una, por un total de $360.
¿Cuál ecuación se puede usar para hallar n?
A 30-n=360
B. n=30 = 360
C. 360 x 30 =n
D. 360 x n = 30
OE 30 x n = 360

Cual es ?

Answers

Answer:

I think C

hi how are you

gdjdthnd

solve x
8(3x+6)=9(2x−4)

Answers

Answer: -48

Step-by-step explanation:

Answer:

x=-14

Step-by-step explanation:

Expand 8(3x+6)

a=8 b=3x c=6

=8*3x+8*6

Simplify; 8*3x+8*6

=24x+48

Expand 9(2x-4)

a=9, b=2x, c=4

=9*2x-9*4

Simplify;9*2x-9*4

=18x-36

24x+48=18x-36

Subtract 48 from both sides;

24x+48-48=18x-36-48

Simplify;

24x=18x-84

Subtract 18x from both sides;

24x-18x=18x-84-18x

Simplify;

6x=-84

Divide both sides by 6;

6x/6=-84/6

Simplify; 6x/6

=x

Simplify ; -84/6

x=-14

Helped by none other than the ONE & ONLY #QUEEN herself #DRIPPQUEENMO !

?/1 A box contains 5 red marbles and 7 green marbles. Find the probability of drawing a green marble and not returning it to the box and then drawing a red marble?

Answers

Answer: 35/132

Step-by-step explanation:

probability of drawing green marble: 7/12

since the green marble drawn won't be returned to the box, the new total amount of marbles in the box is 11.

probability of red marble: 5/11

then multiply the 7/12 and 5/11 together:

35/132 which is abut 26.5%

What is the value of (-5)^4?

Answers

—625 because you would multiply -5 four times

Answer:

625

Step-by-step explanation:

Red copper costs $0.90 for 7.6m and yellow copper costs $1.12 5.2m. Estimate how much each amount of copper costs.

Answers

Answer: Red copper = $0.12 per meter

Yellow copper = $0.22 per meter

Step-by-step explanation:

Since Red copper costs $0.90 for 7.6m, the cost of 1m of red copper will be:

= $0.90/7.6

= $0.12

Since yellow copper costs $1.12 5.2m, the cost of 1m of yellow copper will be:

= $1.12 / 5.2

= $0.22 per meter

Write the number in 2 equivalent forms as a fraction, decimal, or percent.
5/8
What is the equivalent decimal?

Answers

Answer:

0.625 62.5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dividing 5 by 8 on a calculator results in the "equivalent decimal:"

5/8 = 0.625

0.625 converts to 62.5%:  a percent

5/8 is a proper fraction

Write 0,000000357 the following in scientific notation.​

Answers

Answer:

Step-by-step explanation:

3.57 x 10 ^ - 7 is the correct answer

what is the volume of the prism below?

Answers

Answer: A, 120 units cubed

Step-by-step explanation:

Formula = (H*W*L)/2

4 * 3 * 20 = 4 * 60 = 240

240 / 2 = 120

Can someone please explain how to do this thanks. I have a test tomorrow:/

Answers

-3(-4)^2(2)+ 4(-4)
So you’re replacing the x and y with those numbers and then using PEMDAS to answer.
Hope this helps:)

The first four terms of an arithmetic sequence are shown below.
1, 5, 9, 13,......

(a) Write down the nth term of the sequence (general formula).

(b) Calculate the 100th term of the sequence.

(c) Find the sum of the first 100 terms of the sequence.

Answers

Answer:

a) n = 4(n-1)+1    

b) 397

c) 19900

Step-by-step explanation:

slope of (-2,6) (-5,-4)

Answers

Answer:

10/3

Step-by-step explanation:

(-2, 6) & (-5, -4)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (-5 - (-2))

Simplify the parentheses.

= (-4 - 6) / (-5 + 2)

= - 10 / -3

Simplify the fraction.

-10/-3

= 10/3

This is your slope.

Hope this helps!

Answer:

- 1/2

Step-by-step explanation:

Triangle DAN is graphed on the set of axes below.
The vertices of ADAN have coordinates D(-6,-1),
A(6,3), and N(-3,10).

Answers

The area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have triangle DAN which is graphed on the set of axes.

The vertices of ΔADN have coordinates:

D(-6, -1), A(6, 3), and N(-3, 10)

We can find the area of the triangle using the coordinates of the triangle such as:

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

Let's denote the coordinates N(-3, 10), D(-6, -1), andA(6, 3), and with

[tex]\rm (x_1, y_1), (x_2, y_2), \ and \ (x_3,y_3)[/tex] respectively.

Put these points in the above expression, we get:

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-1-3)-6(3-10)+6(10-(-1))][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-4)-6(-7)+6(11)][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [12+42+66][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [120][/tex]

Area of the triangle = 60square units

Thus, the area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.

Learn more about the triangle here:

brainly.com/question/25813512

Identify the values of a, b, and c in the following quadratic equation. 5x 2 - 4x + 8 = 0 a = , b = , c =

Answers

Answer:

a=5

b=-4

c=8

Step-by-step explanation:

What is the median? 0.8 1.0 2.7 2.8 3.1 13.3

Answers

Answer:

2.75

Step-by-step explanation:

The median is just the middle number in the number set. So, you put the numbers in order (which they already are), and find the middle number. If there are two numbers in the middle (which only happens if there is an even amount of numbers), then you add both of them and divide by 2 (which we must do in this problem).

0.8, 1.0, 2.7, 2.8, 3.1, 13.3

(2.7 + 2.8)/2

(5.5)/2 = 2.75

So, the median is 2.75.

Hopefully this helped, good luck!

Step-by-step explanation:

Arranging the numbers in an ascending order:

0.8 1.0 2.7 2.8 3.1 13.3

Median = (3rd value + 4th value) / 2

[tex] = \frac{2.7 + 2.8}{2} \\ = \frac{5.5}{2} \\ = 2.75[/tex]

Rachel has a certain number of pencils in her locker. She has 12 sharpened pencils and 32 unsharpened pencils. What is the ratio of unsharpened pencils to sharpened pencils?

Answers

Answer:

sharpened to unsharpened = 3 : 8

for every 3 sharpened pencil, there are 8 unsharpened pencils

Step-by-step explanation:

12s : 32u

12/32

divide both by 4

3/8

ratio = 3:8

Question 12 (2 points)
Solve the system of equations using subsititution.
y = 2x - 3
y + 5 = 3x

Answers

Answer:

(2,1)

x = 2

y = 1

Explanation:

Check the image

Answer:

(2,1)

Step-by-step explanation:

Since we already have an equation for y, all we need to do is plug that into y in the other equation.

y + 5 = 3x

(2x - 3) + 5 = 3x

2x - 3 + 5 = 3x

2x + 2 = 3x

2 = x

Now that we know y, we just need to plug the value of x into the equation.

y = 2(2) - 3

= 4 - 3

= 1

Check the box labeled show altitude of triangle ABC. The altitude divides ABC into ADB and BDC through the point you determined in question 2.

Answers

The correct answer is 7

The answer of the question

Answers

Answer:

123cm

Step-by-step explanation:

becuse

Can anyone help me with this geometry test please I will give brainlist!!



Also NO links!!

Answers

mexico simpre gana vamooos mexico alv todos los estadunidence s

A pizza shop offers 10 in 12" and 16" then thick deep dish or garlic also you can choose cheese pepperoni sausage mushrooms and green peppers how many pizza combinations are possible

Answers

Answer:

13 possible combinations

Step-by-step explanation:

There are 3 different types of pizza sizes and two different types of pans. There are 5 different toppings available which can be used in the pizza.

5C3 + 3C2 = 10 + 3

Total possible combinations = 13.

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