Rewrite the formula for the volume of a sphere 16\pi {?r}^(2) h Find the height (h) of a sphere with a volume (V) of 16\pi \:{cm}^(3) and a radius (r) of 2 \: cm ​

Question

Rewrite the formula for the volume of a sphere


`16\pi {?r}^(2) h`
Find the height (h) of a sphere with a volume (V) of

`16\pi \:{cm}^(3)`
and a radius (r) of

`2 \: cm`
​

Answer 1

c.
`h=(3V)/(4\pi r^(2)); 3 cm`

Explanation:

`V=(3)/(4)\pi r^(2)h | :(3)/(4)\pi r^(2)\\h=(3V)/(4\pi r^(2) ) \\h=(3*16*\pi cm^(3) )/(4\pi 2^(2)cm^(2) )\\h=3cm`