SOLUTION: A propane tank is made up of a cylinder with hemispheres on each end. If the total length of the tank is 6 feet and height is 2 feet, what is the volume of the tank? Round answer

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Question 169857: A propane tank is made up of a cylinder with hemispheres on each end. If the total length of the tank is 6 feet and height is 2 feet, what is the volume of the tank? Round answer to nearest cubic foot.
Answer by Alan3354(69443) About Me  (Show Source):
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A propane tank is made up of a cylinder with hemispheres on each end. If the total length of the tank is 6 feet and height is 2 feet, what is the volume of the tank? Round answer to nearest cubic foot.
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The 2 hemispheres make up a sphere of diameter 2 feet. The cylinder in the middle is 2 ft diameter and 4 feet long.
The volume is the sum of the sphere and the cylinder.
{{V = (4/3)pi*r^3 + pi*(r^2)*h}}} (h is the length of the cylinder)
V+=+pi%2Ar%5E2%2A%284r%2F3+%2B+h%29
V+=+pi%2A%284%2F3+%2B+4%29
V+=+%2816pi%2F3%29 cf
V+=+16.76 cf
V = 17 cubic feet