Question

The height of a cylinder in 14cm and its curved surface area is 264 sq.cm. The Volume of the cylinder ​

Answer 1

$The \: ✬ Volume = 396 cm³ ✬$

Step-by-step explanation:

$Given:$

Height of cylinder is 14 cm.

Curved surface area of cylinder is 264 cm².

$To \: Find:$

What is the volume of cylinder ?

Solution:

Let radius of cylinder be r cm.

As we know that

★ C.S.A of Cylinder = 2πrh ★

A/q

C.S.A = 264 cm²

Taking π = 22/7

$\implies{\rm } 264 = 2πrh$

$\implies{\rm } 264 = 2 × 22/7 × r × 14$

$\implies{\rm }264 = 44r/7 × 14$

$\implies{\rm } 264 = 44r × 2$

$\implies{\rm } 264 = 88r$

$\implies{\rm } 264/88 = r$

$\implies{\rm }3 cm = Radius$

So, Radius of cylinder is 3 cm.

Now, It's volume

★ Volume of Cylinder = π r²h ★

$\implies{\rm }Volume = (22/7 × 3² × 14) cm³$

$\implies{\rm } Volume = (22 × 9 × 2) cm³$

$\implies{\rm } Volume = 396 cm³.$

Hence,the volume of cylinder is 396 cm³.