Question

The height of a cylinder is 2 times the radius of base of cylinder. If the area of base of the cylinder is 154 cm2. Find the curved surface area of the cylinder.

• A. 356 cm2
• B. 560 cm2
• C. 616 cm2
• D. 486 cm2

Answer 1

Answer:

C. 616 cm2

Solution:

Given:

The height of a cylinder is 2 times the diameter of base of cylinder.

The area of base of the cylinder is 154 cm².

Formula Used:

Area of base of cylinder = πr²

Curved surface area of cylinder = 2πrh

Calculation:

The area of base of the cylinder is 154 cm².

⇒ πr² = 154

⇒ r = √(154 × 7/22)

⇒ r = √(154 × 7/22) = 7 cm

Radius of cylinder = 7 cm

Height of cylinder = 7 × 2 = 14 cm

Then,

Curved surface area of cylinder = 2πrh

= 2 × 22/7 × 7 × 14 =616 cm²