Question

If the radius of a cylinder is doubled and height of the cylinder is halved, then what is the ratio of the volume of the original cylinder to the volume of the new cylinder?

Answer 1

Answer:

1 : 2

Step-by-step explanation:

Volume = π x r² x h

Let us consider...

Original Radius = r

New Radius = R

Original Height = h

New Height = H

Original Volume : New Volume =   π x r² x h : π x R² x H

We know that

R = 2r   ...(i)

H = h/2   ...(ii)

Substituting (i) and (ii), we get...

π x r² x h : π x (2r)² x (h/2)   ⇒   (π x r² x h) ÷ (π x 4r² x h/2)

⇒ 1 : 2

Hope this answer helps you.