Question

The curved surface area of a right circular cylinder of height 14 cm is 88 cm2

. Find the radius

of the base of the cylinder.
DONT SPAM....​

Answer 1

Given :

• Height of cylinder = 14cm
• CSA of cylinder = 88cm2

To Find :

• Radius of the cylinder

Solution :

CSA of cylinder = 2πrh

⟹ 88 = 2 × 22/7 × r × 14

⟹ 88 = 44 × 2 × r

⟹ 88 = 88 × r

⟹ Radius = 1cm

Verification :

CSA of cylinder = 2πrh

⟹ 88 = 2 × 22/7 × 1 × 14

⟹ 88 = 44 × 2 × 1

⟹ 88 = 88

∴ Radius of cylinder is 1cm

Answer 2

Given :

• Curved Surface Area of Cylinder = 88cm²
• Height of the Cylinder = 14cm

To Find :

• Radius of the Cylinder

Solution :

⠀⟶⠀CSA of Cylinder = 2πrh

⠀⟶⠀88 = 2 × 22/7 × r × 14

⠀⟶⠀88 = 2 × 22 × r × 2

⠀⟶⠀88 = 2 × 22 × 2 × r

⠀⟶⠀88 = 2 × 44 × r

⠀⟶⠀88 = 88 × r

⠀⟶⠀88/88 = r

⠀⟶⠀1cm = r

∴ Radius of the Cylinder is 1cm

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★ Additional Info :

• Volume of Cylinder = πr²h
• CSA of Cylinder = 2πrh
• TSA of Cylinder = 2πr (h + r)
• Area of Top of Cylinder = πr²
• Area of Base of Cylinder = πr²

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