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Statistics

Question
CBSEENMA10008842

Derive the formula for the volume of the frustum of a cone, given to you in Section 13.5, using the symbols as explained.

Solution

Let V be the volume of the frustum of cone. Then,
V = Volume of cone V AB
– Volume of cone VA ‘B’

Thus, the volume of the frustum of the cone is given by
bold rightwards double arrow bold space bold space bold V bold space bold equals bold space bold 1 over bold 3 bold pi bold space bold left parenthesis bold r subscript bold 1 to the power of bold 2 bold plus bold r subscript bold 1 bold r subscript bold 2 bold plus bold r subscript bold 2 to the power of bold 2 bold right parenthesis bold space bold h bold.

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