Question

the base of a right circular cylinder is 154 area square and its height is 15 cm find the volume of cylinder
$154 ^{2}$
​

Answer 1

$\huge\mathbb{SOLUTION:-}$

$\bold{Given}\begin{cases}\sf{Base\:Area\:of\: cylinder}\\ \sf{\implies 154cm{}^{2}}\\ \sf{Height\:of\: cylinder=15cm}\end{cases}$

• We have to find the volume of cylinder
• The base of cylinder is in the form of circle therefore :-

$\boxed{\sf{Area\:of\:base=Area\:of\:circle}}$

$\bf\underline{\underline{According\:To\: Question:-}}$

$\boxed{\sf{\blue{Area\:of\:circle=\pi r{}^{2}}}}$

$\sf\implies \pi r{}^{2}=154\\ \\ \sf\implies \frac{22}{7}\times r{}^{2}=154\\ \\ \sf\implies 22\times r{}^{2}=154\times 7\\ \\ \sf\implies r{}^{2}=\cancel{\frac{1078}{22}}\\ \\ \sf\implies r{}^{2}=49\\ \\ \sf\implies r=\sqrt{49}\\ \\ \sf\implies r=7$

$\boxed{\sf{Radius=7cm}}$

• Now we have to find the volume of cylinder

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

• Radius =7cm
• height =15cm
• $\tt \pi =\frac{22}{7}$

$\sf\implies volume=\frac{22}{\cancel7}\times \cancel{7}\times 7\times 15\\ \\ \sf\implies Volume=22\times 7\times 15\\ \\ \sf\implies Volume=154\times 15\\ \\ \sf\implies Volume_{cylinder}=2310cm{}^{3}$

$\boxed{\sf{\purple{Volume\:of\: cylinder=2310cm{}^{3}}}}$

#BAL

#answerwithquality