Question

The volume of a cylinder is 308 cm${}^3$. Its height is 8 cm. Find its lateral surface area and total surface area.

Answer 1

The volume of the cylinder is given as $\pi r^{2}h$ where $r=$ radius of the base of the cylinder and $h$ is

the height of the cylinder.

The volume of the cylinder is given to us as 308 sq meter

$\therefore \frac{22}{7}\times r^2\times 8=308$

$\Rightarrow r^2=\frac{308\times 7}{22\times 8}=12.25$

$\therefore r=3.50$ m

The lateral surface area of a cylinder is given by the formula =$2\pi rh$

$=2\times \frac{22}{7}\times 3.5\times 8$

$=176m^2$

The total surface area of the cylinder = Lateral Surface Area + $2\pi r^2$

$=176+2\frac{22}{7}\times (3.5{)}^2$

$=176+77$

$=253m^2$