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Question

A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.

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Solution

Given:
Upper base diameter, D =4 cm
Lower base diameter, d =2cm
Height, h =14 cm
So, R (upper base) =2 cm,
r(lower =1cm

Capacity of glass = Volume of frustum of cone

=πh3[R2+Rr+r2]

=π×143[22+2×1+12]

=22×14[4+1+2]3×7

=3083=10223 cm 3

So, the capacity of the glass is 10223 cm3

497222_465193_ans.png

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