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Q: Why does the volume quadruple when the radius of a cylinder is doubled?

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volume is related as radius squared x height soif both radius and height doubled volume increases 2 x 2 x 2 = 8 times

It depends on whether the height remains unchanged or increases in the same proportion as the radius.

The radius of this cylinder is 7.0525.

The formula for the volume of a cylinder is pi*r*r*h. So, substitute 2r for r (double radius) and leave h as it is: pi*(2r)*(2r)*h = 4pi*r*h. Therefore the new volume is four times that of the original volume.

The volume of a cylinder with a height of 16 and radius of 7 is: 2,460 cubic units.

Related questions

The volume of a circular cylinder varies directly with the height of the cylinder and with the square of the cylinder's radius If the height is halved and the radius is doubled then the volume will be increased.

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If the radius and height of a cylinder are both doubled, then its surface area becomes 4 times what it was originally, and its volume becomes 8 times as much.

volume is related as radius squared x height soif both radius and height doubled volume increases 2 x 2 x 2 = 8 times

It depends on whether the height remains unchanged or increases in the same proportion as the radius.

The volume will be doubled.

Volume of a cylinder is given by the formula: V = Ï€r2hIt is important to keep in mind that:If r is doubled then volume becomes four times....(1)Volume of the cylinder with radius of 2.5 units is equal to Ï€(2.5)2h and volume of the cylinder with radius of 5 units is equal to 4Ï€(2.5)2h. (By using the fact (1))So, it is clear that volume of the cylinder with greater radius is 4 times the volume of the cylinder with smaller radius.

its volume is also doubled...

since the volume of a right cylinder is height x area of base, the area of the baseis Pi * r^2 (r is radius which is 1/2 of diameter), so the area of the base did notchange, while the height is doubled so the volume is doubled.

If the volume of the cylinder is 5, then its volume is 5 and its radius doesn't matter.

the is more volume in the cone

Two times larger.

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