Question

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

Answer 1

Let the radii be r1 and r2 and height be h
Then volume is given by
$\frac{\pi \times h}{3} \times ( {(r1)}^{2} + r1r2 + {(r2)}^{2} ) \\ = \frac{\pi \times 30}{3} \times ( {14}^{2} + 14 \times 7 + {7}^{2} ) \\ 10\pi \times 343 = 10780 \: {cm}^{3} \\ = 10.78 \: litres$

Answer 2

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