Question

1.
The radii of two circular ends of frustum shape bucket are 14 cm and 7 cm.
Height of the bucket is 30 cm. How many liters of water it can hold ?
(1 litre = 1000 cm)​

Answer 1

Answer:

Let the radii be r1 and r2 and height be h

Then volume is given by

\frac{\pi \times h}{3} \times ( {(r1)}^{2} + r1r2 + {(r2)}^{2} ) \\ = \frac{\pi \times 30}{3} \times ( {14}^{2} + 14 \times 7 + {7}^{2} ) \\ 10\pi \times 343 = 10780 \: {cm}^{3} \\ = 10.78 \: litres