Question

Please complete this sums

Answer 1

Solution :-

Here,

• Height of cylinder = Height of cone
• Radius of cylinder = Radius of cone
• Height = h, radius = r

Important formulae

1. Volume of cylinder
2. $volume \: \: of \: \: cyinder \: \: = \pi {r}^{2}h$
3. Volume of cone
4. $volume \: of \: cone = \frac{1}{3}\pi {r}^{2} h$

Answer

Volume of shaded region = volume of cylinder - volume of cone

$volume \: of \: shaded \: region \: = (\pi {r}^{2} h) - (\frac{1}{3} \pi {r}^{2}h) \\ = (\pi \times {7}^{2} \times 20) - ( \frac{1}{3} \pi \times {7}^{2} \times 20) \\ =( \pi \times 49 \times 20) - (\frac{1}{3} \pi \times 49 \times 20) \\ = 980\pi - \frac{980\pi}{3} \\ = \frac{2,940\pi - 980\pi}{3} \\ = \frac{1960\pi}{3} \\ = \frac{1960}{3} \times \frac{22}{7} \\ = 2,053.33.. {cm}^{3}$

Thanks for the question