Answer:
The volume of a sphere is 2/3 times the volume of a similar cylinder
Scale factor : 2/3
Step-by-step explanation:
Let us consider a sphere of radius r. The volume of the sphere will be given as
Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:
but h = 2r
Hence we have
We can divide the two volumes to get a constant that links them together
this will give us 2/3
Hence the scale factor for Vol sphere: Vol cylinder is 2/3