Answer:
The volume of a sphere of radius r is:
S = (4/3)*pi*r^3
The volume of a cylinder of radius r and height h is:
C = pi*r^2*h
For this problem the height of the cylinders will be equal to the diameter of the spheres, which is equal to two times the radius.
First, let's use the radius: r = 2.
The volume of the sphere will be:
S = (4/3)*3.14*(2)^3 = 33.49
The volume of the cylinder, where h = 2*2 = 4, is:
C = 3.14*(2^2)*4 = 50.24
Now, let's choose the radius r = 3.
The volume of the sphere will be:
S = (4/3)*3.14*3^3 = 113.04
The volume of a cylinder with this radius and h = 3*2 = 6, is:
C = 3.14*(3^2)*6 = 169.56
