Question

If the radius of a cylinder is doubled and its height is quartered, what will be the percebt increase in its volume?

Answer 1

There will not be percentage increase when the radius is doubled and the height is quartered,

Explanation:

A cylinder's volume is equal to the base X height.
Doubling the radius (r) and quartering the height (h) makes the increase (I) equal to the new size / old size
`I=((pi*(2r)^2)*(h/4))/((pi*r^2)*(h))`
After cancelling the height and pi out, you are left with
`((4r^2)/4)/r^2`
which all cancels out to leaving 1, meaning that the volume did not change.