Question:

A washing tub in the shape of a frustum of a cone has height 21 cm. The radii of the circular top and bottom are 20 cm and 15 cm respectively. What is the capacity of the tub ?( = 22/7)

Answer:

Given r₁ = 20cm
r₂ = 15cm
Height , h = 21cm
Volume of frustum ,V = (1/3)h(r₁²+r₂²+r₁×r₂)
V = (1/3)×(22/7)×21×(20²+15²+20×15)
V = 22×(400+225+300)
V = 22×925
V = 22×925
= 20350cm³
= 20.34litres [∵ 1 litre = 1000cm³]
Hence the capacity of the tub is 20.34 litres.

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A washing tub in the shape of a frustum of a cone has height 21 cm. The radii of the circular top and bottom are 20 cm and 15 cm respectively. What is the capacity of the tub ?( = 22/7)

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