SOLUTION: the height of a cylinder is the same length as the circumference of its base. its measured height is 125.66 cm calculate the surface area and the volume of the cylinder

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Question 476996: the height of a cylinder is the same length as the circumference of its base. its measured height is 125.66 cm calculate the surface area and the volume of the cylinder
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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the height of a cylinder is the same length as the circumference of its base.
its measured height is 125.66 cm calculate the surface area and the volume of the cylinder
:
Find the radius of the cylinder, using the circumference formula
2%2Api%2Ar = 125.66
r = 125.66%2F%282%2Api%29
r = 19.9994 ~ 20 cm is the radius
:
Vol = pi%2Ar%5E2%2Ah
V = pi%2A20%5E2%2A125.66
V = 157,909 cu/cm
:
S.A. = Circumference * height + 2%2Api%2Ar%5E2; (includes the two ends)
S.A = (125.66 * 125.66) + (2%2Api%2A20%5E2)
S.A = 15790.4 + 2513.3
S.A. = 18,303.7 sq/sm