The volume is increased by a factor of 23 = 8.
There is no equation for the "scale factor" of a sphere. If I assume you to mean how the volume increases with radius then you would use the volume equation for a sphere and calculate volume based on corresponding radii. You could then divide the resultant volumes to give a percentage or factor of how much larger or small one sphere is than another. You'll see that a small change in radius causes a large change in volume due to the volume being a cubic factor of the radius.
The volume increases by a factor of (3)3 = 27 times.
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 is increased by a factor of 23 = 8.
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 is proportional to R3 .So doubling the radius causes the volume to increase by a factor of 23 = 8 .
The radius must be increased by 26%. (rounded)
There is no equation for the "scale factor" of a sphere. If I assume you to mean how the volume increases with radius then you would use the volume equation for a sphere and calculate volume based on corresponding radii. You could then divide the resultant volumes to give a percentage or factor of how much larger or small one sphere is than another. You'll see that a small change in radius causes a large change in volume due to the volume being a cubic factor of the radius.
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 increases by a factor of (3)3 = 27 times.
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
The volume of a sphere with a radius of 12 is: 7,238.2 cubic units.