Question

If the radius of a cylinder is doubled and height is halved then the volume
of cylinder will be
(a) remain same (b) doubled (c) tripled (d) None of these​

Answer 1

Hello sudiksha568 !

Answer:

(b) Doubled

Step-by-step explanation:

Given :

Cylinder

Radius is doubled.

Height is halved.

Formula :

Assuming that the cylinder mentioned in the question is a Right Circular Cylinder,

Volume of the Cylinder = πr²h

Solution :

Let Initial Volume be V₁.

Let the new Volume be V₂.

r ⇒ 2r

h ⇒ h/2

∴ V₂ = π × (2r)² × (h/2)

⇒ V₂ = πr²h × 4 × (1/2)

⇒ V₂ = 2 × πr²h

As πr²h =  V₁

∴ V₂ = 2 V₁

Hence doubled, option (b) is the correct answer.

Thanks !