Question

The volume of a cylinder is directly proportional to its height and to the square of its radius.
If the height is halved while the radius is tripled, what will be the percentage change in the
volume of the cylinder?​

Answer 1

Answer:

350%

Step-by-step explanation:

Radius = r

Height = h

Volume = V

New Volume = V'

V is proportional to h*(r^2)

V' is proportional to (1/2)*h*(3*r)^2

V/V' = 2/9

Now, percentage of change of volume (P)= (V'-V)*100/V

P= [(V'/V)-1]*100

P= [(9/2)-1]*100

P= 7*50%

P= 350%

There is a 350% increase in volume of cylinder.