Question

csa of cylinder is264m^2 and its volume is 924m^3 find ratio of height to its diameter

Answer 1

HERE IS UR ANSWER DEAR,

GIVEN :

CYLINDER:

CSA = 264 m²

volume = 924 m³

TO FIND :

ratio of height to its diameter.

SOLUTION:

$csa \: of \: cylinder \: = 2\pi \: r \: h \: {m}^{2}$

$2\pi \: r \: h \: = 264 \: {m}^{2} - - - - (1)$

$rh = \frac{264}{2\pi}$

$volume \: of \: cylinder = \pi \: {r}^{2} h \: {m}^{3}$

$\pi \: {r}^{2} \: h \: = 924 {m}^{3}$

$\pi \: r \:( r \: h )\: = 924$

$\pi \: r \: ( \frac{264}{2\pi} ) =924$

$r \: = 924 ( \frac{2\pi}{264\pi} )$

$r = 7m$

$then \: diameter \: = 2r = 2(7) = 14m$

$then \: applying \: r \: value \: in \: (1)$

$2 \times ( \frac{22}{7} ) \times 7 \times h = 264$

$h = \: \frac{264}{44} m$

$h = 6m$

$then \: the \: ratio \: will \: be$

$\frac{height}{diameter} = \frac{6}{14} = \frac{3}{7}$

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