Volume of a Composite Figure: Cylinder with Hemisphere Top, Radius 3 in, Height 9 in

Published on October 27, 2026

Geometry

Find the volume of a composite solid made of a cylinder (radius 3 in, height 9 in) topped by a hemisphere of the same radius. Add the cylinder volume pi r squared h to the hemisphere volume two thirds pi r cubed to get 99 pi cubic inches.

Question

Answer

Step 1: Identify the dimensions.
The radius is

in. The cylinder’s height is

in.

Step 2: Find the volume of the cylinder.

Step 3: Find the volume of the hemisphere.

Step 4: Add the volumes.

Final answer:

in³ (so the missing value is

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