The circular ends of a bucket are of radii 35 cm and 14 cm and the height of the bucket is 40 cm. Its volume is

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