Question

The volume of a cone 69,120π cm cubed. The diameter of the circular base is 96 cm, what is the height of the cone?

Answer 1

h = 30 cm

Explanation:

Given:

V (volume) = 69,120π cm^3

d (diameter) = 96 cm (r (radius) = 0,5 × 96 = 48 cm

Find: h (height) - ?

`v = (1)/(3) * \pi {r}^(2) * h`

`(1)/(3) * \pi * {48}^(2) * h = 69120\pi`

Multiply the whole equation by 3 to eliminate the fraction:

`2304\pi * h = 69120\pi`

`h = 30`