# The circular ends

Given: The circular ends of a bucket are of radii 35 cm and 14 cm and the height of the bucket is 40 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 = × 40 × (352 + 142 + 35 × 14)

V = × 40 × (1225 + 196 + 490) = × 40 × (1911)

V = × 40 × (1911) = 80080 cm3

The volume of the bucket is: 80080 cm3

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