Respuesta :

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 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