Question

The diameter of the base of a cylinder is 12 cm and the height is 8 cm. Find the surface area of the solid cylinder.

Give relevant answer​

Answer 1

Answer:
$\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}\mid}}}$


$\boxed{\red{\bf Surface \: area \: of \: cylinder = 528 \: cm^2}}$

Step-by-step explanation:

Given that ;

Diameter of base of cylinder = 12 cm.

Height of cylinder = 8 cm.

To find :

The surface area of the cylinder.

Solution :

⇒ Diameter = 12 cm

⇒ Radius = $\sf \dfrac{Diameter}{2}$

⇒ Radius = $\sf \dfrac{12}{2}$

⇒ Radius = 6 cm.

We know that,

Surface area of cylinder = 2πrh + 2πr²

$\sf \implies 2 \times \dfrac{22}{7} \times 6 \times 8 + 2 \times \dfrac{22}{7} \times 6 \times 6$

$\sf \implies \dfrac{2112}{7} + \dfrac{1584}{7}$

$\sf \implies \dfrac{2112+1584}{7}$

$\sf \implies \dfrac{3696}{7}$

$\sf \implies 528 cm^2$

Hence, the surface area of cylinder is 528 cm².

Hope it helps you