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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

User David Zagi
by
8.1k points

1 Answer

6 votes

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

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

User Thomas Vangelooven
by
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