a drinking glass vessel is in the shape of frustum of a cone of height 14 cm the diameter of the two circular ends are 4 cm and 2 cm find the capacity of the glass vessel
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102.66 cubic cm
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Given a drinking glass vessel is in the shape of frustum of a cone of height 14 cm the diameter of the two circular ends are 4 cm and 2 cm find the capacity of the glass vessel
We need to find capacity of glass vessel which means volume of frustum of a cone
So volume is given by 1/3 π h (r1^2 + r2^2 + r1. r2)
So h = 14 cm r1 = d1/2 = 4/2 = 2 cm r2 = d2/2 = 2/2 = 1 cm
Now V = 1/3 x 22/7 x 14 (2 ^2 + 1^2 + 2 x 1)
V = 1/3 x 44 x 7
V = 308 / 7
V = 102.66 cubic cm
So capacity of glass vessel is 102.66 cm^3
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