Question

The formula for the volume of a cone is V=1/3x3.14xr^2h, where V is the

volume, r is the radius of the base, and h is the height.

a. Solve the formula for h.


b. What is the height of a cone with a volume of 1017.36 square inches and
a radius of 6 inches? Use 3.14 to approximate

Answer 1

Answer: a. h=3V/(πr^2)

b. h=27 inches

Explanation:

a. V=1/3 π r^2 h

V*3=3*1/3 π r^2 h

3V=3/3 π r^2 h

3V=π r^2 h

3V/π=π/π r^2 h

3V/π=r^2 h

h=3V/(πr^2)

b. h=3(1017.36)/(3.14(6^2))

h=3052.08/(3.14(36))

h=3052.08/(3.14(36))

h=3052.08/113.04

h=27 inches