Question

The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. The capacity of the bucket is ______.

Options

• 32.7 litres

• 33.7 litres

• 34.7 litres

• 31.7 litres

Answer 1

The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. The capacity of the bucket is 32.7 litres.

Explanation:

Since shape of bucket is like Frustum,

Therefore, volume of bucket

`= 1/3 pi"h" ["R"^2 + "r"^2 + "rR"]`

`= 1/3 xx 22/7 xx 35[22^2 + 12^2 + 22 xx 12]`

= 32706.6 cm³

= 32.7 L