Question

The volume of a cylinder, given by the formula V= pie ^2 h, is 539 cubics inches. In the formula, r represents the radius and h represents the height of the cylinder. What equation represents the value of r in terms of h

Answer 1

`\displaystyle r=\sqrt{(539)/(\pi\cdot h)}`

Explanation:

Fill in the value of the volume and solve for r.

`539=\pi\cdot r^2\cdot h\\\\(539)/(\pi\cdot h)=r^2 \quad\text{divide by the coefficient of $r^2$}\\\\r=\sqrt{(539)/(\pi\cdot h)} \quad\text{take the square root}`