Question

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

Answer 1

ANSWER:

396 cm³

.

EXPLANATION:

Formula:

Curved Surface Area = 2πrh

.

Find radius:

Given that the curved surface area = 264 cm² and the height = 14 cm:

2πr (14) = 264

28 πr = 264

r = 264 ÷ 28π

r = 3 cm (nearest cm)

.

Formula:

Volume = πr²h

.

Volume = π (3)² (14) = 396 cm³ (nearest cm)

.

The volume of the cylinder is 396 cm³

Answer 2

✬ 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

$\implies{\rm } 264 = 2πrh$

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

$\implies{\rm }264 = 44r/7 \times× 14$

$\implies{\rm } 264 = 44r \times× 2$

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

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

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

So, Radius of cylinder is 3 cm.

Now, It's volume

★ Volume of Cylinder = πr²h ★

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

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

$\implies{\rm } Volume = 396 cm³.$

Hence,the volume of cylinder is 396 cm³.