Question

the curved surface area of cyclinder is 484 cm and its height is 5.5 cm . Find its radius and volume of cyclinder

Answer 1

Answer :-

• Radius = 14 cm
• Volume = 3388 cm³

Step-by-step explanation :-

Given:

• CSA of cylinder = 484 cm²
• Height = 5.5 cm

To find:

• Radius = ?
• Volume of cylinder = ?

Solution:

CSA of cylinder = 2πrh

where:

• π = 22/7
• CSA = 484 cm
• Height = 5.5 cm

CSA of cylinder = 2πrh

⇒ 484 = 2 × 22/7 × r × 5.5

⇒ 484 = 44/7 × r × 5.5

⇒ r = (484 × 7) ÷ (44 × 5.5)

⇒ r = 3388 ÷ 242

⇒ r = 14

∴ Radius = 14 cm

Volume of cylinder = πr²h

⇒ Volume of cylinder = 22/7 × 14 × 14 × 5.5

⇒ Volume of cylinder = 3388 cm³

∴ Volume of cylinder = 3388 cm³