The height of a right circular cylinder is 14 cm. Its curved surface a

1.	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. 5282. 6163. 7044. 8805. 792
Answer» 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

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. 5282. 6163. 7044. 8805. 792

Answer» 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

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