Question

Find the surface area and volume of the given figure​

Answer 1

$volume \: of \: solid \: = volume \: of \: cone \: + \\ \: volume \: of \: cylinder \: + \: volume \: \\ of \: hemi \: sphere.$

$radius \: of \: solid \: = 3cm \\ height \: of \: cone \: = 5cm \\ height \: of \: cylinde \: = 8cm$

$volume \: of \: solid \: = \frac{1}{3} \pi {r}^{2} h \: + \pi {r}^{2} h \: + \: \frac{2}{3} \pi {r}^{3}$

$\: \: \: \: \: \: \: \: = \frac{1}{3} \times \frac{22}{7} \times 3 \times 3 \times 5 \: + \: \frac{22}{7} \times 3 \times 3 \times 8 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \frac{2}{3} \times \frac{22}{7} \times 3 \times 3 \times 3$

$volume \: of \: solid \: = \: 330 {cm}^{3}$

$tsa \: of \: solid \: \: = lateral \: surafce \: are \: of \: \\ \: \: \: \: \: \: \: \: (cone \: + cylinder \: + hemisphere \: )$

$tsa \: of \: solid \: = \pi \: rl \: + 2\pi \: rh \: + 2\pi {r}^{2}$

$\: \: \: \: \: = \frac{22}{7} \times 3 \times 4 + \frac{22}{7} \times 2 \times 3 \times 8 + \\ \: \: \: \: \: \: \: 2 \times \frac{22}{7} \times 3 \times 3$

$surface \: area \: of \: solid \: = 245.14 {cm}^{2}$

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