Q: How does the height change if the radius is doubled?

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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.

Yes.

if length and width are doubled then the volume should mulitiply by 8

The area quadruples.

if its a cone: volume= (1/3) base* height or volume= (1/3) pi *radius*radius[r squared]* height

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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.

quadrupled. :)

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

The volume will be doubled.

It is quadrupled. volume_cylinder = π x radius2 x height If radius → 2 x radius then: new_volume = π x (2 x radius)2 x height = π x 22 x radius2 x height = 4 x π x radius2 x height = 4 x original_volume

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

If the base stays the same, the area 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.

Yes.

Two times larger.

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.