Question

The volume of a cone is 2560π cm cubed. The diameter of the circular base is 32 cm. What is the height of the cone?

Answer 1

h = 30 cm

Explanation:

Given:

V (volume) = 2560π cm^3

d (diameter) = 32 cm (r (radius) = 0,5 × 32 = 16 cm)

Find: h (height) - ?

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

`h = \frac{v}{ (1)/(3) * \pi {r}^(2) } = \frac{2560\pi}{ (1)/(3) * \pi * {16}^(2) } = 30`

`h = \frac{2560\pi}{ (1)/(3) * \pi * {16}^(2) }`