Question

find the diameter of a cylinder whose curved surface area is 88square cm if its height is 14 cm?​

Answer 1

AnswEr :

◗ CSA of a cylinder = 88 cm²

◗ Height of a cylinder = 14 cm

◗ Diameter of a cylinder = ?

• R A D I U S⠀O F A⠀C Y L I N D E R :

↠ CSA of cylinder = 2πrh

↠ 88 = 2 × 22/7 × r × 14

↠ 88 ÷ 2 = 22 × r × 2

↠ 44 = 44r

↠ r = 44 ÷ 44

↠ r = 1 cm

∴ The radius of cylinder is 1 cm.

_______________________________

•D I A M E T E R O F A⠀C Y L I N D E R :

↠ Diameter = Radius × 2

↠ Diameter = 1 × 2

↠ Diameter = 2 cm

∴ The Diameter of cylinder is 2 cm.

━━━━━━━━━━━━━━━━━━━━━━━━

◗ Radius of cylinder = 1 cm

◗ Diameter of cylinder = 2 cm

Answer 2

Question:-

• Find the diameter of a cylinder whose curved surface area is 88 square cm if its height is 14 cm ?​

Given:-

• Area is 88 square cm and its height is 14 cm.

Solution:-

• CSA of cylinder = 88 cm²

• Height of the cylinder = 14 cm

• Diameter of the cylinder = ?

Now ,

We have to find the radius of the cylinder:-

CSA of cylinder = 2πrh

88 = 2 * 22/7 * r * 14

88/2 = 22 * 2 * r

44 = 44r

r = 44/44

r = 1

Then ,

Diameter of a cylinder:-

Diameter = Radius * 2

Diameter = 1 * 2

Diameter = 2