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How does the volume of a cylinder change if the radius is doubled?
Wiki User
∙ 12y ago
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
Wiki User
∙ 12y ago
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How does the volume of a cylinder change if the height is doubled?
The volume will be doubled.
If only the radius of a cylinder is doubled what is the volume multiplied by?
4
How do you find the volume of a cone that fits exactly inside a cylinder?
volume=pi*radius squared*height/3, where radius is the radius of the cylinder (and will be the radius of the base of the cone),and height is the lenth of the cylinder.
How does doubling the radius of a cylinder affect the volume?
Doubling the radius quadruples the volume.
What is the volume of a cylinder that has a radius of 6 and a height of 8?
The volume of a cylinder that has a radius of 6 and a height of 8 is: 226.2 units3
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?
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.
How does the volume of a cylinder change if the height is doubled?
The volume will be doubled.
If only the radius of a cylinder is doubled what is the volume multiplied by?
4
What is the new volume of a cylinder if the height and radius are doubled?
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.
If the height and radius of a cylinder are doubled how will the volume of the cylinder be affected?
volume is related as radius squared x height soif both radius and height doubled volume increases 2 x 2 x 2 = 8 times
What happens to the radius if the volume of a cylinder is doubled?
It depends on whether the height remains unchanged or increases in the same proportion as the radius.
How many times greater is the volume of a cylinder with a radius of 5 than a radius of 2.5?
Volume of a cylinder is given by the formula: V = πr2hIt 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 π(2.5)2h and volume of the cylinder with radius of 5 units is equal to 4π(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.
How does the volume of a circular cylinder change if its radius is doubled and its height remains the same?
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.
What happens to the volume of a cylinder if the height is doubled and the diameter of the base is not changed?
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.
Why does the volume quadruple when the radius of a cylinder is doubled?
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.
How many times larger is the new volume of a cylinder if only the height doubled and the radius remained the same?
Two times larger.
What happens to the volume of a cylinder if the radius is 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.
