A cylinder has a volume of 452 cubic inches and a height of 9 inches. What is the radius?

Step-by-step explanation:

The formula for volume of a cylinder is ...

V = πr²h where r is the radius and h is the height. We are given V = 452 and h = 9, plug those values in and solve for r

452 = πr² (9)

452 / (9π) = r² (divide both sides by 9π)

√[452 / (9π) ] = r (take the square root of both sides)

(√452) / (√9π) = r (the next steps simplify the equation)

(2√113) / (3√π) = r

[ (2√113) √π) ]/[3 (√π) (√π) ] = r

[2√ (113π) ] / (3π) = r