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Q: What happens to the radius if the volume 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

The original volume is multiplied by 27.

The volume is Base x height; the Base area is the same as the formula for a circle - which is proportional to the square of the radius. For example, if you double the radius (or the diameter, or the circumference) of a circle, its area will quadruple.

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.

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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The volume is doubled.

Volume doubles

Volume doubles

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.

The volume of the cylinder would be doubled.

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

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.

The volume is added by the variable "x" and multiplied by pi

The volume will be doubled.

V = (pi)*R2*H if you double the radius then put 2R in place of R in the formula: V = (pi)*(2R)2*H V = 4pi*R2*H So the volume will increase 4 fold if you double the cylinder's radius.

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