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Question

A conical dome of a palace is supported by a cylindrical pillar, both having the same radius. If the ratio of heights of cylinder to cone is 4:3, then the ratio of their volumes is


  1. 2:1

  2. 1:1

  3. 4:1

  4. 3:1


Solution

The correct option is C

4:1


Since, the ratio of the heights of the cylinder to cone is 4:3,

let height of cylinder, hcylinder be 4x and height of cone, hcone be 3x

Ratio of volumes =πr2hcylinder13πr2hcone

=πr2×4x13πr2×3x

=4:1

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