A cylinder has a volume of 452 cubic inches and a height of 9 inches. What is the radius?
Accepted Solution
A:
Answer: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 r452 = 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