Question 1190570
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V = (4/3)*pi*r^3 .... volume of a sphere
V = (4/3)*pi*6^3
V = 288pi
The sphere has an exact volume of 288pi cubic inches.



V = pi*r^2*h .... volume of a cylinder
V = pi*6^2*6
V = 216pi
The cylinder has an exact volume of 216pi cubic inches


The difference of the volumes is
sphere - cylinder = 288pi - 216pi = <font color=red>72pi cubic inches</font>


Extra info:
The ratio of the volumes is
cylinder/circle = (216pi)/(288pi) = 3/4
meaning that the cylinder is exactly 3/4 the volume of the sphere
cylinder volume = (3/4)*(sphere volume)
This only works if r = h, and r is the same for both the sphere and cylinder.
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