1 Answer

EddyR · Answer 1 · 2023-09-26T23:41:41+0000

The equation for the Volume (V) of the cone given is,

$V=(1)/(3)\pi r^2h$

We are to isolate 'h' in the equation above

SOLUTION

Multiply both sides by 3

$3V=3*(\pi)/(3)r^2h$

Simplify

$3V=\pi r^2h$

Divide both sides by πr²

$(3V)/(\pi r^2)=(\pi r^2h)/(\pi r^2)$

Simplify

$h=(3V)/(\pi r^2)$

Hence, the answer is

$h=(3V)/(\pi r^2)\text{ (OPTION D)}$

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