Question

The diameters of 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 bucket is in the form of a frustum.
The diameters are respectively, \[d_1 = 44 \text { cm and }d_2 = 24 cm\]

Radii of the circular ends = \[r_1 = 22 \text { cm and } r_2 = 12 cm\]

\[\text { Volume, V } = \frac{1}{3}\pi h\left( r_1^2 + r_1 r_2 + r_2^2 \right)\]

\[V = \frac{1}{3}\pi \times 35\left( {22}^2 + 22 \times 12 + {12}^2 \right)\]

\[V = 32706 . 6 c m^3 \]

\[ = 32 . 7\text {  liters }\]