Question

A cylinder with a radius of 4 cm and a height of 9 cm has the same volume as a cone with a radius of 3 cm. What is the height of the cone?

Answer 1

Answer:

D. 48 cm

Step-by-step explanation:

Cylinder Volume:

V=πr^2h

V≈452.39

Cone Volume:

V=πr^2(h/3)

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

452.39 = pi x 9 x (h/3)

452.39 = 28.26 x (h/3)

/28.26      /28.26

16.008138712 = (h/3)

x 3                      x 3

h = 48.0244161359

h = 48 cm