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Find the volume of the figure below. Leave your answer in terms of  π. ​

Find the volume of the figure below. Leave your answer in terms of  π. ​-example-1

1 Answer

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Answer: 1539π cubic inches.

Explanation:

In the figure, we have a hemisphere joined with a cylinder of the same diameter 18 inches.

Radius = 9 inches (half of diamter)

Volume of hemisphere =
\frac23 \pi r^3

Volume of cylinder =
\pi r^2 h, where r= radius h= height

Volume of hemisphere=
(2)/(3)\pi (9)^3=486\pi in.^3

Volume of cylinder =
\pi (9)^2 (13)=1053\pi\ in.^3

Combined volume = 486π+1053π=1539π cubic inches.

Hence, the volume of the solid = 1539π cubic inches.

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