Question

The lateral surface area of a cylinder is 1848 Sq.cm , and its height is 21 cm, Then its volume is _________ *​

Answer 1

Given :

• C.S.A of Cylinder = 1848 cm²
• Height of Cylinder = 21cm.

To Find :

• Volume of Cylinder .

Solution :

Firstly we will find Radius of Cylinder :

$\longmapsto\tt{C.S.A=1848{cm}^{2}}$

$\longmapsto\tt{Height=21cm}$

Using Formula :

$\longmapsto\tt\boxed{C.S.A\:of\:Cylinder=2\pi{rh}}$

Putting Values :

$\longmapsto\tt{1848=2\times\dfrac{22}{\cancel{7}}\times{r}\times{\cancel{21}}}$

$\longmapsto\tt{44\times{3}\times{r}=1848}$

$\longmapsto\tt{132r=1848}$

$\longmapsto\tt{r=\cancel\dfrac{1848}{132}}$

$\longmapsto\tt\bold{r=14cm}$

So , The Radiua of Cylinder is 14cm..

Now :

$\longmapsto\tt{Radius=14cm}$

Using Formula :

$\longmapsto\tt\boxed{Volume\:of\:Cylinder=\pi{{r}^{2}h}}$

Putting Values :

$\longmapsto\tt{\dfrac{22}{\cancel{7}}\times{14}\times{14}\times{\cancel{21}}}$

$\longmapsto\tt{22\times{14}\times{14}\times{3}}$

$\longmapsto\tt\bold{12936{cm}^{3}}$

Therefore , The volume of Cylinder is 12936cm³..

Answer 2

$\longmapsto\tt{Hope\:It\:Helps\:Uh}$❤