Question

The formula for the volume of a cone is V= 1/3 πr²h , where r is the radius of tl cone and h is the height of the cone. Rewrite the formula to solve for the positive value of r in terms of h and V

Answer 1

To solve for the positive value of r in terms of h and V in the volume formula of a cone, rearrange the equation, multiply both sides by 3, divide by πh, and take the square root.

Step-by-step explanation:

To solve for the positive value of r in terms of h and V in the formula for the volume of a cone, we can rearrange the equation. We start with the formula V = 1/3 πr²h, and we want to solve for r. First, multiply both sides of the equation by 3 to get rid of the fraction: V * 3 = πr²h.

Then, divide both sides of the equation by πh to isolate r: r² = (V * 3) / (πh). Finally, take the square root of both sides to solve for r, making sure to only consider the positive value: r = √((V * 3) / (πh)).