Question 171139

Volume of a right circular cylinder is given by the formula:

V=pi*r^2*h  where r is radius and h is height

Volume of original cylinger is: V1=pi*r^2*h
Volume of new cylinder is: V2=pi*(r/3)^2*(4h); simplifying, we get:
V2=pi*((r^2)/9)*4h=
V2=(pi*r^2*h)*(4/9) but (pi*r^2*h)=V1, so we have:
V2=(4/9)*V1

So the Volume gets quite a bit smaller---4/9 of the original volume


Hope this helps---ptaylor