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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 16 cm and 12 cm. Find the capacity of the glass.
Solution
We have,
Height of the Furstum, = 14 cm
Base radii, `"R" = 16/2 = 8 "cm" and r = 12/2 "cm"`
The capacity of the glass = Volume of the furstum
`= 1/3 pi"h"("R"^2 + "r"^2 + "rR")`
` 1/3xx22/7xx14xx(8^2 + 6^2 + 8 xx 6)`
`1/3xx22xx2xx(64 + 36 + 48)`
`= 44/3xx148`
`= 6512/3 cm3`
≈ 2170.67 cm3
So, the capacity of the glass is 2170.67 cm3.
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