Q:

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