Question

A cone has volume of 3.

Answer 1

Answer:

r = 1 h = 9

r = 2 h = 2.25

r = 5 h = .36

r = 1/2 h = 36

Step-by-step 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

Answer 2

Answer:

9/pi or 2.865

2.25/pi or 0.716

9/25pi or 0.115

36/pi or 11.459

Step-by-step 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