Solve the formula for the volume of a cone for the height of the cone, h. V = pir^22h

Question

asked May 3, 2018 190k views

2 Answers

MrZiggyStardust · Answer 1 · 2018-05-10T09:38:01+0000

Answer:

The formula for h is
$h=(3V)/(\pi r^2)$

Explanation:

Given : The formula for the volume of a cone,
$V=(1)/(3) \pi r^2h$

To find : Solve the formula for the volume of a cone for the height of the cone, h ?

Solution :

The formula for the volume of a cone,
$V=(1)/(3) \pi r^2h$

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

To solve for h,

Multiply both side 3,

$3V=\pi r^2h$

Divide both side by
$\pi r^2$

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

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

Therefore, The formula for h is
$h=(3V)/(\pi r^2)$