If the diameter of a sphere is increased by a factor of 4, how will it affect the volume?
The volume will be increased by a factor of 4.
The volume is increased by a factor of 16.
The volume is increased by a volume of64
The volume is increased by a volume of 85.

Question

If the diameter of a sphere is increased by a factor of 4, how will it affect the volume?
	The volume will be increased by a factor of 4.
	The volume is increased by a factor of 16.
	The volume is increased by a volume of64
	The volume is increased by a volume of 85.

anonymous · Answer

v = [4(pi)r^3]/3
d is increased by factor of 4
since 2r = d, Xr = 4d?, X = 2*4 = 8

instead of r^3 as in the original equation you'll have (8r)^3 

can you see what the answer is from there?