Question

The curved surface of area of cylinder is 4400 cm2 and the circumference of its base is110cm. Find the volume of cylinder

Answer 1

Answer:

Volume = 38500cm3

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Answer 2

✬ Volume = 38,500 cm³ ✬

Step-by-step explanation:

Given:

• Curved surface area (CSA) of cylinder is 4400 cm².
• Circumference of base of cylinder is 110 cm.

To Find:

• What is volume of the cylinder ?

Solution: Let the radius of base of the cylinder be r and height of the cylinder be h.

★ Circumference of base = 2πr ★

Here, circumference of base of cylinder is given 110 cm. Therfore,

$\implies{\rm }$ 2πr = 110

$\implies{\rm }$ 2 x 22/7 x r = 110

$\implies{\rm }$ 44/7 x r = 110

$\implies{\rm }$ r = 110 x 7/44

$\implies{\rm }$ r = 770/44

$\implies{\rm }$ r = 17.5 cm

• Now, Curved Surface area of cylinder = 2πrh

But, given CSA is 4400 cm². Therefore

$\implies{\rm }$ 2πrh = 4400

$\implies{\rm }$ 2 x 22/7 x 17.5 x h = 4400

$\implies{\rm }$ 770/7 x h = 4400

$\implies{\rm }$ h = 4400 x 7/770

$\implies{\rm }$ h = 30800/770

$\implies{\rm }$ h = 40 cm.

Hence, The Height of cylinder is 40 cm and Radius of cylinder is 17.5 cm.

★ Volume of Cylinder=πr²h cubic units★

$\implies{\rm }$ Volume = 22/7 x (17.5)² x 40 cm³

$\implies{\rm }$ Volume = 22/7 x 306.25 x 40 cm³

$\implies{\rm }$ Volume = 22 x 43.75 x 40 cm³

$\implies{\rm }$ Volume = 38500 cm³

Hence, the volume of Cylinder is 38500 cm³