What Happens To The Volume Of A Sphere When Its Diameter Is Doubled?

Posted by mypic.asia May 29, 2025

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From geometry, we remember that surface area and volume of the sphere are represented by: (1) (2) where is the radius of the sphere. The diameter is two times the radius of the sphere. If the radius of the sphere is doubled, then the sphere gets bigger, the diameter is double, the surface area is doubled and the volume is octupled.

The volume here depends on the diameter of radius of the sphere. The surface area of sphere is the area or. The formula for the volume of a sphere is 4/3 times pi times the radius cubed. For example if the radius of your sphere equals 19 inches multiply 19 by 19 to get 361 square. Area becomes scale factor^2 * area. Volume becomes scale factor ^3 * volume. If the diameter is doubled the scale factor is 2. Volume becomes 2^3 * volume. If the diameter of the sphere is doubled, the surface area of the resultant sphere becomes x times that of the original one.