Question

Type the correct answer in the box.

The formula for the volume, V, of a cone having the radius, r, and the height, h, is shown below.
V = žar24
Write the formula to calculate the height, h.
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Answer 1

`\large\boxed{h=(3V)/(\pi r^2)}`

Explanation:

`\text{The formula of a volume of a cone:}\ V=(1)/(3)\pi r^2h.\\\\\text{Solve for}\ h:\\\\(1)/(3)\pi r^2h=V\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot(1)/(3\!\!\!\!\diagup_1)\pi r^2h=3V\qquad\text{divide both sides by}\ \pi r^2\\\\h=(3V)/(\pi r^2)`