Question

if the area of the cylinder is 154cmsqare , height=10cmvolume of cylinder . please show the step by step explanation????
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Answer 1

Step-by-step explanation:

$\huge \boxed{ \mathfrak{Given :-}}$

$\bull \: \: \: CSA of cylinder = 154 \: {cm}^{2}$

$\bull \: \: \: height \: of \: the \: cylinder \: = 10 \: cm$

$\mathfrak{We \: know \: that }$

$CSA \: of \: cylinder = 2\pi rh$

$2 \times \frac{ \not22}{7} \times r \times 10 = \not154 \: ^{7}$

$r = \frac{7 \times 7}{2 \times 10}$

$r = \frac{49}{20}$

$\mathfrak{We \: know \: that }$

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

$\implies \frac{ \not22 ^{11} }{ \not7} \times \frac{ \not49 ^{7} }{20} \times \frac{49}{ \not20 ^{ \not2} } \times \not10$

$\implies \frac{11 \times 7 \times 49}{20}$

$\implies \frac{3773}{20} {cm}^{3}$