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24 votes
24 votes
A cone has volume of 3.

If the cone’s radius is 1, what is its height?

If the cone’s radius is 2, what is its height?

If the cone’s radius is 5, what is its height?

If the cone’s radius is 1/2, what is its height?

User ZackDeRose
by
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2 Answers

24 votes
24 votes

Answer:

r = 1 h = 9

r = 2 h = 2.25

r = 5 h = .36

r = 1/2 h = 36

Explanation:

volume of a cone = ( π * r^2 * h )/ 3

3π = (π * r^2 * h )/3

9π = π * r^2 * h

9 = r^2 * h

h = 9 / r^2

when r is 1 h is 9

when r is 2 -> 9 ÷ 4 = 2.25 = h

when r is 5 -> 9 ÷ 25 = .36 = h

when r is 1/2 -> 9 ÷ 1/4 = 9 * 4 = 36 = h

User Maxdow
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3.3k points
26 votes
26 votes

Answer:

9/pi or 2.865

2.25/pi or 0.716

9/25pi or 0.115

36/pi or 11.459

Explanation:

The formula for the volume of a cone

V= 1/3pir^2h

V= volume

pi= 3.141592...

r= radius

h= height

1) 3= 1/3pi (1)^2h

9=pi(h)

h= 9/pi or 2.865

2) 3= 1/3pi (2)^2h

9=4pih

h= 9/4pi or 0.716

3) 3= 1/3pi (5)^2h

9= 25pih

h= 9/25pi or 0.115

4) 3=1/3pi (1/2)^2h

9= 1/4pih

h= 36/pi or 11/459

User Soptareanu Alex
by
3.1k points