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# The diameter of two circular ends of a bucket are 44 cm and 24 cm, and the height of the bucket is 35 cm. The capacity of the bucket isA. 31.7 litresB. 32.7 litresC. 33.7 litresD. 34.7 litres

Given: Diameter of two circular ends of a bucket are 44 cm and 24 cm, and the height of the bucket is 35 cm.

Bucket is in the shape of frustum.

Let V be the Volume of the Bucket(Frustum)

Volume of the frustum is given by: × h × (R2 + r2 + Rr) (here r and R are the radii of smaller and larger circular ends respectively)

V = × h × (R2 + r2 + R × r)

V = × 35 × (222 + 122 + 22 × 12) (diameters are 44 and 24 cm, their radii are 22cm and 12cm respectively)

V = × 35 × (484 + 144 + 264) = × 35 × (892)

V = × 35 × (892) = 32706.6 cm3 = 32.7 litres ( 1000cm3 = 1 litre)

The capacity of the bucket is: 32.7 litres

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