Engineering Board Exam Reviewer · Solid Geometry: Prisms, Pyramids, and Cylinders · medium

A right circular cylinder is inscribed in a cube of edge 10. Find the volume of the cylinder.

1. 500 π 1570.8
2. 125 π 392.7
3. 100 π 314.16
4. 250 π 785.4

Answer

D. 250 π 785.4

Solution

The cylinder has radius 5 and height 10: V=π(25)(10)=250π 785.40.

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