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25 November, 06:50

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

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  1. 25 November, 07:54
    0
    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
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