Question

The curved surface area of a cylinder is 1320 cm2 and its base had diameter 21 cm. find the height and the volume of the cylinder.​

Answer 1

$\: \: \: \: \: \: \: diameter \: = 21$

$\: \: \: \: \: \: radius = \frac{21}{2} = 10.5$

$\: \: \: \: \: \: csa \: of \: cylinder \: = 1320$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2\pi rh = 1320$

$2 \times \frac{22}{7} \times 10.5 \times h = 1320$

$h = \frac{1320 \times 7 \times 10}{105 \times 2 \times 22}$

$\: \: \: \: \: \: \: \: h = 20 \: cm$

$volume \: = \pi {r}^{2} h$

$\frac{22}{7} \times 10.5 \times 10.5 \times 20$

$= > 6930 \: {cm}^{3}$

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