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If the height and radius of a cylinder are doubled, how will the volume of the cylinder be affected?

the volume will double
the volume will quadruple
the volume will increase by a factor of six
the volume will increase by a factor of eight

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View image DarlinEsteves
View image DarlinEsteves

The volume will increase by a factor of eight.

What is Volume of Cylinder?

The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. Cylinder's volume is given by the formula, πr²h, where r is the radius of the circular base and h is the height of the cylinder.

Volume of Cylinder = πr²h

Put, r = 2R, h = 2H

New volume of Cylinder  = π (2R)².2H

                                = π.4R².2H

                                = 8πR²H

                                = 8V

Thus, the volume will increase by a factor of eight.

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