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

Answer:

$\displaystyle r=\sqrt{\frac{539}{\pi\cdot h}}$

Step-by-step explanation:

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

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