Question 425571
The volume V of a cylinder with a fixed height is directly proportional to the square of its radius r.
 If a cylinder with a radius of 10 inches has a volume of 200 cubic inches, what is the volume of a cylinder with the same height and a radius of 5 inches?
:
Let v = volume of the 5 inch cylinder
:
{{{10^2/5^2}}} = {{{200/v}}} = {{{100/25}}} = {{{200/v}}}
Cross multiply
100v = 200*25
100v = 5000
v = {{{5000/100}}}
v = 50 cu inches