Question

The curved surface area of a cylinder is 1,320 cm sq and it’s volume is 2,640 cm sq find it’s height

Answer 1

C.S.A. of cylinder =

${1320}^{2}$

volume of cylinder=

${2640}^{3}$

$csa = 2\pi {r}^{2}$

$1320 = 2 \times \frac{22}{7} \times {r}^{2}$

$1320 = \frac{44}{7} \times {r}^{2}$

$\frac{1320}{7} = 44 \times {r}^{2}$

$\frac{1320 \times 44}{7} = {r}^{2}$

$r = \sqrt{ \frac{58080}{7} }$

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

$2640 = \frac{22}{7} \times \sqrt{ { \frac{58080}{7} }^{2} } \times h$

$\frac{2640 \times 22}{7} = \sqrt{ { \frac{58080}{7} }^{2} } \times h$

$\frac{58080}{7} = \sqrt{ { \frac{58080}{7} }^{2} } \times h$

$\frac{58080}{7} - \frac{58080}{7} = h$

$0 = h$

Answer