Question

The circumstances of the base the cone is 60π cm. If the volume of the cone is 21,600π cm cubed, what is the height?

Answer 1

h = 24 cm

Explanation:

Given:

C (base) = 60π cm

V (volume) = 21,600π cm^3

Find: h (height) - ?

`c = 2\pi * r`

`2\pi * r = 60\pi`

`2r = 60`

`r = 30`

We found the length of the radius

v = 1/3 × πr^2 × h

1/3 × π × 900 × h = 21600π

Multiply both sides by 3:

2700π × h = 64800π / : 2700π

h = 24 cm