If volume of a cyclinder has to increase 100 times its radius
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Volume of a cylinder is directly proportional to its radius squared.
V = Pi (R^2) H
V = Volume of cylinder
R = Radius
H = Height
It is obvious from the above equation that to increase V 100 times, Pi (R^2) H must be increased 100 times.
Since Pi is a constant and Height is not to be changed, (R^2) has to be increased 100 times
That is, R has to increased by (sqrt 100) times = 10 times.
:)
V = Pi (R^2) H
V = Volume of cylinder
R = Radius
H = Height
It is obvious from the above equation that to increase V 100 times, Pi (R^2) H must be increased 100 times.
Since Pi is a constant and Height is not to be changed, (R^2) has to be increased 100 times
That is, R has to increased by (sqrt 100) times = 10 times.
:)
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