Question

Rearrange the formula to highlight the radius

Answer 1

`\displaystyle\\Answer:\ r=\sqrt{(3V)/(\pi h) } .`

Explanation:

`\displaystyle\\V=(1)/(3) \pi r^2h.\\`

Multiply both sides of the equation by 3:

`3V=\pi r^2h.`

Divide both sides of the equation by πh:

`\displaystyle\\(3V)/(\pi h) =(\pi r^2h)/(\pi h) \\(3V)/(\pi h)=r^2\\ r^2=(3V)/(\pi h) .\\r*r=\sqrt(3V)/(\pi h) *\sqrt{(3V)/(\pi h) } \\r=\sqrt{(3V)/(\pi h) } .\\`