Quote: the 2 cylinders below are similar. cylinder A has a height that is half of cylinder B. The volume of cylinder A is 12 cubic inches. which is the closest to the volume of cylinder B ?
ok, cylinders can be described by two numbers, their radius and their height.
two cylinders are similar if for some number K>0 both the radius and height of one cylinder is K times those of the other.
the volume of a cylinder is V=pi R
2 H
we are told that
H
A = (1/2) H
B 2*H
A = H
B the cylinders are similar so
R
A = (1/2) R
B 2*R
A = R
B Volume
B = pi R
B 2 H
B =
pi (2 R
A)
2 (2 H
A) = 8 pi R
A 2 H
A =
8 Volume
A = 8 * 12 in
3 = 96 in
3
+6251 
