A drinking glass is in the shape of a frustrum of a cone of height 6cm. The radii of its two circular bases are 2cm and 1cm . The capacity of the glass is A) 22 cm3 B) 44 cm3 C) 88 cm3 D) 100 cm3
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Answer:
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
=3πh[R2+Rr+r2]
=3π×14[22+2×1+12]
=3×722×14[4+1+2]
=3308=10232 cm 3
So, the capacity of the glass is 10232 cm3

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