Question

The height of a right circular cylinder is 14 cm. Its curved surface area is 176 cm². Find the volume of the cylinder (in cm3), if its radius is doubled.
1. 528
2. 616
3. 704
4. 880
5. 792

Answer 1

Correct Answer - Option 3 : 704

Given:

Height of the Right Circular Cylinder = 14 cm

Curved Surface Area of the Cylinder = 176 cm²

Formulae Used:

Curved Surface Area of a Right Circular Cylinder = 2 × π × r × h

Volume of a Right Circular Cylinder = π × r² × h

Calculation:

Let the required radius of the cylinder be r

We can calculate the radius by using the relation for the curved surface area:

176 = 2 × π × r × 14

⇒ r = 2 cm

When the radius is doubled, the new radius = 2 × 2 = 4 cm

The new volume of the cylinder =  π × 42 × 14 = 704 cm³

∴ The volume of the cylinder if the radius is doubled, will be 704 cm3