Engineering Board Exam Reviewer · Solid Geometry: Cones, Spheres, and Frustums · medium

A sphere is inscribed in a cube of edge 10. Find the volume of the sphere.

  1. 1000 π/3 1047.2
  2. 500 π/3 523.6
  3. 250 π/3 261.8
  4. 100 π 314.16

Answer

B. 500 π/3 523.6

Solution

The radius is 5: V= 43π(125)=500π/3 523.60.

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