Question

the circumstances of the base is 48π cm. if the volume if the cone is 8640π cm cubed, what is the height?

Answer 1

h = 15 cm

Explanation:

Given:

C (base's circumstance) = 48π cm

V (volume) = 8640π cm^3

Find: h (height) - ?

`c = 2\pi * r`

`2\pi * r = 48π`

`r = 24`

We found the radius

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

`(1)/(3) * \pi * {24}^(2) * h = 8640π`

Multiply the whole equation by 3 to eliminate the fraction:

`1728\pi * h = 25920\pi`

`h = 15`