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

Find the volume of a frustum of a cone with base radii 6 and 3 and a height of 4.

  1. 84 π 263.89
  2. 252 π 791.68
  3. 81 π 254.47
  4. 63 π 197.92

Answer

A. 84 π 263.89

Solution

V=π h/3≤ft(R2+Rr+r2 )=4π/3(36+18+9)=84π 263.89.

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