If the radius of a cylinder gets doubled and height remains same then

1.	If the radius of a cylinder gets doubled and height remains same then how much percent of volume get increased?1. 100%2. 200%3. 300%4. 500%5. 400%
Answer» Correct Answer - Option 3 : 300% Given: New cylinder radius = 2 × Radius of original cylinder New cylinder height = Original cylinder height Formula used: Volume of cylinder= π × (radius)²× height Calculation: Let the radius of original cylinder be r cm. Radius of new cylinder = 2r cm Height of new and original cylinder = h cm Volume of original cylinder = πr²h cm² Volume of new cylinder = π(2r)²h Now, change in volume = 4πr²h – πr²h = 3πr²h ∴ Required percentage = [3πr²h/πr²h × 100]% = 300 %

If the radius of a cylinder gets doubled and height remains same then how much percent of volume get increased?1. 100%2. 200%3. 300%4. 500%5. 400%

Answer» Correct Answer - Option 3 : 300%

Given:

New cylinder radius = 2 × Radius of original cylinder

New cylinder height = Original cylinder height

Formula used:

Volume of cylinder= π × (radius)²× height

Calculation:

Let the radius of original cylinder be r cm.

Radius of new cylinder = 2r cm

Height of new and original cylinder = h cm

Volume of original cylinder = πr²h cm²

Volume of new cylinder = π(2r)²h

Now, change in volume = 4πr²h – πr²h = 3πr²h

∴ Required percentage = [3πr²h/πr²h × 100]% = 300 %

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