Q: How much does the volume of a sphere increase if the radius doubles?

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The volume becomes eight-fold.

It depends on the shape. The volume of a sphere will increase differently to the volume of a cylinder, for example.

The volume of a sphere with a radius of 13 is: 9,203 units3

The volume of a sphere with a radius of 18 is about 24,429 units3

The volume of a sphere with a 10 in radius is: 4,188.8 cubic inches.

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The volume of the sphere is proportional to the cube of its radius.Increasing the radius by 5% causes the volume to increase by the factor of (1.05)3= (1.05 x 1.05 x 1.05) = 1.157625= 15.7625% increase in volume.(Regardless of what the radius and volume were before the increase.)

The volume of a sphere is proportional to R3 .So doubling the radius causes the volume to increase by a factor of 23 = 8 .

The volume becomes eight-fold.

It depends on the shape. The volume of a sphere will increase differently to the volume of a cylinder, for example.

64The formula to find the volume of a sphere is4/3 * pi * r3where r is the radius of the sphere. So if the radius is increased by a factor of 4, then the formula becomes4/3 * pi * (4r)3 = 4/3 * pi * 64r3showing that the volume increases by a factor of 64.

The volume of a sphere with a radius of 4cm is about 268cm3

The volume of a sphere with a radius of 2cm is about 33.5cm3

The volume of a sphere with a radius of 13 is: 9,203 units3

The volume of a sphere with a radius of 18 is about 24,429 units3

A sphere with a radius of 9 units has a volume of 3,053.63 units3

A sphere with a radius of 24 cm has a volume of 57,905.84 cm3

The volume of a sphere with a radius of 80.0cm is about 2,144,661cm3