if a spheres radius increases x 6 how many x will its volume increase
A. x 36
B. x 12
C. x 6
D. x 18
D. x 18
The volume of a sphere is proportional to the cube of its radius. If the radius of a sphere increases by a factor of x, then the volume will increase by a factor of x^3. In this case, if the radius increases by a factor of 6, then the volume will increase by a factor of 6^3 = 216. This is equivalent to an increase of x 18 times.