Write the formula for the volume of a cone V = 13π r2 h in terms of h.
Find the height h of a cone with volume V = 32π cm3 and radius r = 4 cm.
Formula:

Height:

Answers

Answer 1

Answer:

The answer is D, h=3Vπr2. The height of the cone is 6 cm

Step-by-step explanation:

Answer 2

The Height of the Cone is 6 cm.

What is Volume of Cone?

The shape's volume is equal to the product of its area and height. = Height x Base Area = Volume.

The formula for the volume of a cone is V=1/3hπr².

Given:

Volume of Cone= 1/3 πr²h

where r is the radius and h is the height.

Now, if V= 32π cm³ and r= 4 cm

Then, Volume of Cone = 1/3 πr²h

                               32π = 1/3 π(4)²h

                               32 = 1/3  (4)²h      

                                32= 1/3 (16)h

                                h/3 = 2

                               h= 6cm

Hence, the height is 6 cm.

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Related Questions

what is 3+8+2
answer 4 points lol

Answers

Answer:

13 lol

Step-by-step explanation:

8 + 2 = 10 + 3 = 13

= 13

x^2=-144

Solve by factoring

Answers

Answer: it would be 12

Step-by-step explanation: because if you times 12 twice you would get 144

Comparing pure water and a 0.10m glucose solution, which has the higher boiling point?

Answers

Answer:

what do you mean

Step-by-step explanation:

HELP ASAP I WILL MARK BRAINLEST

Internet Usage The number of hours people in the United States
spent using the Internet each year from 1998 to 2001 can be
modeled by the function f(x) 5 26.4x 1 54.4 where x is the number
of years since 1998.
a. Graph the function and identify its domain and range.
b. Find the number of hours that people spent on the Internet
in 2000. Explain how you found your answer.
c. When did people spend about 120 hours per year on the
Internet? Explain how you found your answer.

Answers

Answer:

Look in picture

Step-by-step explanation:

Functions can be represented on graph and as equation.

The domain and the range of the function are [0,3] and [54.4,133.6]The number of hours spent in 2000 is 107.2People spend about 120 hours per year in 2001

The function is given as:

[tex]f(x) = 26.4x + 54.4[/tex]

(a) The graph, domain and range

See attachment for the graph of [tex]f(x) = 26.4x + 54.4[/tex]

The function represents years from 1998 to 2001.

This means that:

[tex]x = 0[/tex] in 1998 and [tex]x =3[/tex] in 2001

So, the domain is: [tex][0, 3][/tex]

From the graph;

[tex]x = 0 \to f(x) = 54.4[/tex]

[tex]x = 3 \to f(x) = 133.6[/tex]

So, the range is [tex][54.4,133.6][/tex]

(b) Number of hours spent in 2000

First, we calculate x.

[tex]x = 2000 - 1998[/tex]

[tex]x =2[/tex] i.e. 2 years since 1998

So, we have:

[tex]f(x) = 26.4x + 54.4[/tex]

[tex]f(2) =26.4 \times 2 + 54.4[/tex]

[tex]f(2) =107.2[/tex]

(c) When people starts to spend 120 hours.

We have:

[tex]f(x) = 26.4x + 54.4[/tex]

Substitute 120 for f(x)

[tex]120 = 26.4x + 54.4[/tex]

Collect like terms

[tex]26.4x = 120 - 54.4[/tex]

[tex]26.4x = 65.6[/tex]

Solve for x

[tex]x = \frac{65.6}{26.4}[/tex]

[tex]x = 2.48[/tex]

Round 2.48 to the smallest integer greater than 2.48

[tex]x = 3[/tex]

This represents the number of years, since 1998.

So, the actual year is:

[tex]Year =1998 + 3[/tex]

[tex]Year = 2001[/tex]

Hence, people spend about 120 hours per year in 2001

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You go to the store and notice the people standing in line. 7 adults and 4 children. If this ratio stays the same and there 55 people in the store. how many would be children?​

Answers

Answer:

20

Step-by-step explanation:

7+4=11

11*5= 55

4*5=20 :)

The number of children and adults will be 35 and 20, respectively.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

You go into the store and observe the folks in queue. There are 7 adults and 4 children. If this ratio remains constant and there are 55 people in the store.

7x / 4x = constant

Then the equation is given below.

7x + 4x = 55

11x = 55

x = 11

Then the number of adults is given as,

7x = 7 (5) = 35

Then the number of children is given as,

4x = 4 (5) = 20

The number of children and adults will be 35 and 20, respectively.

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Maya claims that 8n is the number of dots in figure n. Kiana claims that the number of dots in figure n is given by 4(n+1)
Consider the square arrangements below in relation to the girls' expressions, where n represents the figure number.
Determine whether Maya, Kiana or both girls are correct in their given expressions. Justify your response.

The evaluation of your response will be based on the following criteria.

Answers

Answer:

Answer:

Kaya's answer is correct.

Step-by-step explanation:

The number of dots in successive figures are

8, 16, 24.

So Kaya's solution 8n is correct.

When n = 1, first square = 8*1 = 8 dots

n = 2: second square = 8*2 = 16

n = 3, 3rd square = 8*3 = 24.

If I have interpreted Kianna's formula correctly

for n = 1, then the number of dots = 2(1+ 1)^2 - 2(1 - - 1)^2

= 0.

an integer is choose from 20 to 30 what is probability of its a prime number​

Answers

Answer: 20%

Step-by-step explanation:

We have to find out how many prime numbers there are from 20 to 30.

There are only 23 and 29. We have to make a fraction out of 2 over 10.

The fraction can be: [tex]\frac{2}{10}[/tex]

[tex]\frac{2}{10}[/tex] can be written as a percent as 20%.

The answer is 20%

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
A(5,5), B(7,5), C(7,-1), and D(5, -1).
Given these coordinates, what is the length of side BC of this rectangle?
units

Answers

Answer:

The length of the side BC is 6 units

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x1,y1) and B(x2,y2), the distance between them is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We need to calculate the distance between B(7,5) and C(7,-1):

[tex]d=\sqrt{(7-7)^2+(5+1)^2}[/tex]

[tex]d=\sqrt{36}[/tex]

d=6

The length of the side BC is 6 units

WILL MARK BRAINLIEST. Find my mistake and explain how you would fix it. I’ve included step numbers so you can describe where the step is in the solution path.

Answers

Answer:

2 errors in step 3 -15 + 7 = -8 not +22

also a negative devided by a postive is a negative (the x on the last step)

Step-by-step explanation:

Write sec 325° in terms of the secant of'a positive acute angle.

Answers

Answer:

sec35°

Step-by-step explanation:

sec325° = sec(360 - 325)° = sec35°

The secant of a positive acute angle of sec 325° = sec 35° = 1.22077

What are Trigonometric Ratios?

Trigonometry values are all about the study of standard angles for a given triangle with respect to trigonometric ratios.The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given data ,

The trigonometric ratio is = sec 325°

Now , to express the ratio in terms of a positive acute angle , we take the four quadrants of the graph and express the angle in the first quadrant.

And , 325° lies on the 4th Quadrant , where all cosines and secants are positive.

Therefore , sec 325° = sec ( 360° - 35° )

                                  = sec ( 35° )

                                  =1.22077

Hence , the secant of a positive acute angle of sec 325° = sec 35° = 1.22077

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Fergus Braune and get the social security benefit of $800 per month his wife receives a benefit equal to 50% of Ferguson's benefit if they take an additional $300 month from savings what will their monthly income be to the nearest dollar

Answers

Answer:

$1500

Step-by-step explanation:

Braune benefit=$800

Braune wife benefit=50% of Braune benefit i.e $400

Money taken from savings=$300

Total monthly Income=$800+$400+$300

=$1500

Walter is a botanist. He often needs to weigh parts of plants, such as flowers or leaves. Which of the following units would likely make Walter’s measurements easiest to read?

a.
tons
b.
pounds
c.
kilograms
d.
grams

Answers

I would say d. Grams.


Hope this helps.:)

The solution is: d. grams, is the unit that would likely make Walter’s measurements easiest to read.

Explanation:

The ton is the greatest of the units here.

The weight order of the units are

1 gram<1 pound<1 kg<1 ton.

flowers or leaves are generally very small in size so the best unit to measure the weight would be gram.

The weight in pound can be converted to gram as

1 pound =453.592 grams.

The weight in kg can be converted to pound as

1 kg = 2.2 pounds.

The weight in ton can be converted to kg as

1 ton = 1000kg.

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Kylie's family took a road trip to the Grand Canyon, Kylie fell asleep 42% of the way through the trip. If the total length of the trip was 600 miles, how many miles had they travelled when Kylie fell asleep?​

Answers

252 miles. Because just do 42% of 600.

Question 4
Which of the following statements is true (read each carefully!):
.
The square root of 30 is between 6 and 7.
• The square root of 41 is between 5 and 6.
The square root of 14 is between 3 and 4.
• The square root of 27 is between 14 and 15.

Answers

The answer is : square root of 14 is between 3 and 4
√14= 3.74

Answer:

The square root of 14 is between 3 and 4.

Step-by-step explanation:

The answer would be that because the square root of 14 is  3.74165738677. HOPE THIS HELPS! CAN I HAVE BRAINLIEST?!

Which of the points shown is on the y-axis?

Answers

Answer:
Z (0,3)
It’s directly on the y-axis.

What is 40009,547+24719,783? I need to know now

Answers

Answer:

64729,330

You add the numbers together using place value.

What is the value of 6/x +2c^2, when x= 3?
O 8
O 11
O 14
20

Answers

Answer:

the answer is 11

Step-by-step explanation:

dont know

can you help me the question is what would happen if the inches was one how much would the days be

Answers

Answer: 1.75 Days

Step-by-step explanation: I don't really know how to explain this?

Tell me if this was helpful :D

distance be tween (5,-8) and (5,2) on the coordinate plane

Answers

Answer:

10 is the distance

Step-by-step explanation:

d = square root (x2-x1)^2 + (y2-y1)^2

(5-5)^2 = 0

(2-(-8))^2 = 100

0 + 100 = 100

square root 100 = 10

what is the slope of the line in the graph?​

Answers

Answer:

1

Step-by-step explanation:

The slope of a line equals rise/run. That is the distance and height between each point. The horizontal and vertical distances are both 1, so 1/1= 1

Rise/run is the slope formula. 2/1 =2 3/2 4/3 and it keeps going

Use the following sequence to:
9, 5, 1, -3, -7, ...
A) Identify the parts for the sequence:
Common Difference "d" =
ai =
ao =
B) Write the recursive form for the sequence.
an = an-1
an =
C) Write the explicit forms for the sequence.
+ (n - 1)
Simplified: an =
D) Find a31. Show work on your paper.
a31

Answers

Step-by-step explanation:

A) d = a2-a1 = 5-9 = - 4

_________________

Can anyone help me with this and explain it too?

Answers

Answer:

(6, 3)

Step-by-step explanation:

[tex]Midpoint (x_{m},y_{m})=(\frac{x_A + x_B}{2}, \frac{y_A + y_B}{2})\\\\=(\frac{3 + 9}{2}, \frac{6 + 0}{2})\\\\=(\frac{12}{2}, \frac{6}{2})\\\\Midpoint of a line segment (x_M, y_M) = (6, 3)[/tex]

How to Calculate Midpoint?

The x-coordinate of the midpoint M of the segment [tex]\overline{AB}[/tex] is the arithmetic mean of the x-coordinates of the endpoints of the segment  [tex]\overline{AB}[/tex]. Similarly, the y-coordinate of the midpoint M of the segment  [tex]\overline{AB}[/tex] is the arithmetic mean of the y-coordinates of the endpoints of the segment  [tex]\overline{AB}[/tex].

Solve for x in the equation x squared + 10 x + 12 = 36.
x = –12 or x = 2
x = –11 or x = 1
x = –2 or x = 12

Answers

it’s the first one

x = -12 or x=2

Answer:

x= -12 x=2

Step-by-step explanation:

Pam wants to make a new banner for the school in the parking lot. If her banner starts at 3 feet tall and 4 feet wide; and she wants to enlarge it by a factor of 7, what are her final measurements

Answers

Answer:

21 feet tall and 28 feet wide

Step-by-step explanation:

If you were to sketch a graph that shows the relationship between grams of honey and grams of salt
needed for a bakery recipe, what label (words) and scale (numbers) would you choose for the x-axis
and the y-axis?

Answers

answer

The horizontal (x) axis represents the categories; The vertical (y) axis represents a value for those categories.

I need the answer to number 7

Answers

Answer:

function

Step-by-step explanation:

domain: -inf to +inf

range: -inf to +inf

Answer:

y=-4/3 + 2

Step-by-step explanation:

So first we need to find the slope which is rise over run or rise/run. We already know the slope is negative because it is slanted to the left \.

The equation should be in this form y = mx+ b

m = slope

b = y- intercept

The slope is -4/3

The y-intercept is 2

y= -4/3 + 2

Help this is a major grade help ASAP plzzz 17 points

Answers

Answer:

y= 15x+225

Step-by-step explanation:

Answer:

D. y = 15x + 225

Step-by-step explanation:

x would be the amount of prints. y is the total price. So doing this math equation would get you the total price, or y.

4x+1+3=8 ayuden manden paso a paso

Answers

Answer:

x = 1

Step-by-step explanation:

Solve for x:

4 x + 1 + 3 = 8

Hint: | Group like terms in 4 x + 1 + 3.

Grouping like terms, 4 x + 1 + 3 = 4 x + (1 + 3):

4 x + (1 + 3) = 8

Hint: | Evaluate 1 + 3.

1 + 3 = 4:

4 x + 4 = 8

Hint: | Isolate terms with x to the left hand side.

Subtract 4 from both sides:

4 x + (4 - 4) = 8 - 4

Hint: | Look for the difference of two identical terms.

4 - 4 = 0:

4 x = 8 - 4

Hint: | Evaluate 8 - 4.

8 - 4 = 4:

4 x = 4

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 4 x = 4 by 4:

(4 x)/4 = 4/4

Hint: | Any nonzero number divided by itself is one.

4/4 = 1:

x = 4/4

Hint: | Any nonzero number divided by itself is one.

4/4 = 1:

Answer: x = 1

Add: 3 3/8 + 7 3/4 !!!!!!!!!!

Answers

Answer:

179 /8 = 22.37500

Hope this helps!

what is 0.285714 to the nearest hundredth​

Answers

Answer:

.29

Step-by-step explanation:

Answer: 0.29

Step-by-step explanation:

Look at the number in the hundredth place in this case 8 then look at the number after it in this case 5 if the number is greater than or equal to five then round up

Hope this helps

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