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.
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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*r^2*(4r/3 + h)}}}
{{{V = pi*(4/3 + 4)}}}
{{{V = (16pi/3)}}} cf
{{{V = 16.76}}} cf
V = 17 cubic feet