Question

A tank is in the form of right circular cylinder.Its height is 48m and the base Area is 616sq.m find the lateral surface area and volume of cylinder

Answer 1

In case of any query ask me
Mark me brainliest please if it is clear to u

Answer 2

$\huge\red{\bold{\underline{\underline{Given:-}}}}$

• A tank is in the form of right circular cylinder with height 48 m and with base area 616 sq.m

$\huge\blue{\bold{\underline{\underline{To\:Find:-}}}}$

• Lateral surface area and Volume of cylinder

$\huge\green{\bold{\underline{\underline{Solution:-}}}}$

Base of cylinder is nothing but a circle . This mean base area of cylinder is nothing but Area of circle .

$\large\rm\bold{\boxed{Area\:of\:circle\:=\:\pi\:r^2}}$

Where r is Radius of cylinder.

$\large\rm{\rightarrow{\pi\:r^2\:=\:616}}$

$\large\rm{\rightarrow{\frac{22}{7}\times\:r^2\:=\:616}}$

$\large\rm{\rightarrow{r^2\:=\:\frac{616\times\:7}{22}}}$

$\large\rm{\rightarrow{r^2\:=\:196}}$

$\large\rm{\rightarrow{r\:=\:\sqrt{196}\:=\:14\:m}}$

$\large\rm\bold{\boxed{LSA\:\:of\:cylinder\:=\:2\pi\:rh}}$

Where ,

• r is Radius of cylinder
• h is Height of cylinder

$\large\rm{\rightarrow{LSA\:=\:\frac{2(22)(14)(48)}{7}}}$

$\large\rm{\rightarrow{LSA\:=\:4,224\:m^2}}$

$\large\rm\bold{\boxed{Volume\:of\:cylinder\:=\:\pi\:r^2h}}$

Where ,

• r is Radius of cylinder
• h is Height of cylinder

$\large\rm{\rightarrow{Volume\:of\:cylinder=\:\frac{22(14)(14)(48)}{7}}}$

$\large\rm{\rightarrow{Volume\:of\:cylinder\:=\:29,568\:m^3}}$

∴ The LSA and Volume of the given cylinder are 4,224m² and 29,568 m³