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01/07/2021 1:03 pm
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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.
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01/07/2021 1:05 pm
Radius (r1) of the upper base = 4/2 = 2 cm
Radius (r2) of lower the base = 2/2 = 1 cm
Height = 14 cm
Now, Capacity of glass = Volume of frustum of cone
Capacity of glass = (1/3) × π × h(r12+r22+r1r2)
= (1/3) × π × (14)(22+12+ (2)(1))
∴ The capacity of the glass = 102 × (2/3) cm3