A cylinder has a volume of 392.5 in and a height of 5 in

a. find the radius of the cylinder

b. find the surface area for the cylinder

Volume=height times area of base

area of base=circle=pi times r^2

subsitute

volume=392.5

height=5

subsitute

392.5=5 times pi times r^2

divide both sides by 5

78.5=pi times r^2

aprox pi to 3.14

78.5=3.14 times r^2

divide both sides by 3.14

25=r^2

square root both sides

5=r

A. Radius=5 in

surface area=2 (area of base) + (circunfernce times height)

area of base=pi times r^2=3.14 times 5^2=78.5

circumference=2 times pi times r=2 times 3.14 times 5=31.4

height=5

surface area=2 (78.5) + (31.4 times 5)

surface area=157+157

surface area=314

A. radius=5 cm

surface area = 314 cm^2