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Ahmed is creating a large balloon in the shape of a medical capsule for a drug company’s Employee Day festivities. The balloon is a cylinder 50 feet long and 12 feet in diameter, capped at each end by half spheres 12 feet in diameter. How many cubic feet of gas is needed to fill the balloon?

Explanation

The radius of both the cylinder and the half spheres is 6. The volume of the two half spheres is the same as the volume of one whole sphere, 

\(V=\frac{4}{3} \pi r^{3} \approx \frac{4}{3} \times 3.14 \times 6^{3}=905\)

The volume of the cylinder is:

\(V=\pi r^{2} h \approx 3.14 \times 6^{2} \times 50=5652\)

The sum is: 5652 + 905 = 6557 cubic feet. A is correct

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