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. [use π=22/7]
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Solution
Radius (r1) of upper base of glass = 4/2 = 2 cm
Radius (r2) of lower base of glass = 2/2 = 1 cm
Capacity of glass = Volume of frustum of cone
`= 1/3pih = (r_1^2+r_2^2+r_1r_2)`
`=1/3pih[(2)^2 +(1)^2+(2)(1)]`
`=1/3xx22/7xx14[4+1+2]`
= 308/3 = 102 2/3 cm3
Therefore, the capacity of the glass is 102 2/3 cm3
Concept: Frustum of a Cone
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