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प्रश्न
If the areas of circular bases of a frustum of a cone are 4 cm2 and 9 cm2 respectively and the height of the frustum is 12 cm. What is the volume of the frustum?
उत्तर
Area of circular bases of frustum is
`A_1 = 4 cm^2`
`A_2 = 4 cm^2`
The height of frustum h = 12 cm
Now, the volume of frustum
`V = h/3{A_1 + A_2 + sqrt(A_1 A_2)}`
`=12/3 {4 + 9 + sqrt(4 xx 9)}`
`=4 {13 + 6}`
`V = 76 cm^3`
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