Question

find the raduis of the base of a right circular cylinder whose height is 14cm and curved surface area is 176sq. cm.​

Answer 1

Radius= 2cm

2×π×r×h=176

2×22/7×r×14=176

r = 176 ×7/44×14

r =2cm

Answer 2

Given

• Height of a right circular cylinder = 14 cm
• Curved surface area of the right circular cylinder = 176 cm²

To find

• Radius of the base of a right circular cylinder

Concept

As we know,

Curved surface area of cylinder = 2πrh

• We are having the values of the Curved surface area of the cylinder, height of the cylinder.
• By substituting the values in the formula we will find the radius of the cylinder.

Solution

Using formula,

Curved surface area of cylinder = 2πrh

Where,

• Take π = 22/7
• r = radius of the cylinder
• h = height of the cylinder

Substituting the values,

⟶ 176 = 2 × 22/7 × r × 14

⟶ 176 = 44/7 × r × 14

⟶ 176 = 616/7 × r

⟶ (176 × 7)/616 = r

⟶ 1232/616 = r

⟶ 2 = r

∴ Radius of the cylinder = 2 cm

___________________________

Let's verify -:

Substituting the value of radius of the cylinder in the formula of the cylinder.

⟶ 2 × 22/7 × 2 × 14

⟶ 88/7 × 14

⟶ 88 × 2

⟶ 176 cm²

Hence, verified.