Cylinders Q and P are both right circular cylinders. The height of cylinder Q is 3 times the height of cylinder P, and the radius of cylinder Q is 2 times the radius of Cylinder P. The volume of cylinder Q is how many times the volume of Cylinder P?

F. 3

G. 4

H. 5

J. 7

K. 12

Answer: The volume of cylinder Q is 12 times the volume of Cylinder P.

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

If cylinder Q has radius, r and height, h,

Then

Volume of cylinder Q = πr²h

For cylinder P,

Height = 3h

Radius = 2r

Volume of cylinder P = π (2r) ² * 3h

= 4πr² * 3h = 12πr²h

Therefore, the ratio of the volume of cylinder P to the volume of cylinder Q is

12πr²h/πr²h = 12