Question

The volume (V) of a cylinder can be determined by using the formula V = π r 2 h , where r = the radius of the base, and h = the height of the cylinder. What is the result of solving this equation for r?

Answer 1

To find the radius (r) of a cylinder from its volume (V) and height (h), divide V by πh, then take the square root of the result.

Step-by-step explanation:

To solve the equation V = πr²h for r (the radius of the base of a cylinder), we want to isolate r on one side of the equation. To do this, we can follow these steps:

1. Divide both sides of the equation by πh to get r² = V / (πh).
2. Take the square root of both sides to solve for r. Thus, r = √(V / (πh)).

This manipulation gives us the formula for calculating the radius of a cylinder when we know its volume and height.