Question

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

Answer 1

✬ 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.

Answer 2

Given :-

• Height of the cylinder is 14 cm.

• Curved surface area is 264 sq.cm

To Find :-

• The volume of cylinder = ?

Solution :-

Curved surface area of cylinder = 2πrh

➮ 264 cm² = 2πrh

➮ 264 cm² = 2 × 22/7 × r × 14

➮ 616 r = 1848

➮ r = 1848/616

➮ r = 3 cm

Volume of cylinder = πr²h

➮ Volume of cylinder = 22/7 × 3 × 3 × 14cm²

➮ Volume of cylinder = 22 × 18 cm²

➮ Volume of cylinder = 396 cm²

Therefore, the Volume of cylinder is 396 cm.²