don't understand

Question

Cylinder A has a height of 12 inches and a volume of   inches^3. Cylinder B has the same height as Cylinder A, but its radius is 3 times longer.

The volume of Cylinder B is______________________  times the volume of Cylinder A.

Answer 1

V=∏r^2h

V=∏(3r)^2h

V=∏9r^2h

V=9∏r^2h

the volume of cylinder B is 9 times the volume of cylinder A

check:

432Π=Πr^2(12)

432=r^2(12)

r^2=36

r=6

radius of B is 18 inches

V=Π*18^2*12

V=Π*3888 compared to V=432Π

3888/432=9 times larger