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

Find the volume of a spherical cap of height 2 cut from a sphere of radius 6.

  1. 32 π/3 33.51
  2. 128 π/3 134.04
  3. 16 π 50.27
  4. 64 π/3 67.02

Answer

D. 64 π/3 67.02

Solution

V=π h2(3r-h)/3=π(4)(16)/3=64π/3 67.02.

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