Acylindrical container holds three tennis balls. the diameter of the container is 3 inches, and it’s height is 8.5 inches. the diameter of each ball is 2.5 inches. what is the unused volume of the container when it is holding all three balls ?

35.540 cubic inches

First we find the volume of the cylindrical container:  

V = π(r^2)h  

d = 3  

r = 3/2 = 1.5  

V = π(1.5^2)(8.5)

= 60.083 cubic inches  

Then we  find the volume of three tennis balls:  

volume of one ball (sphere):  

V = (4/3)π(r^3)  

d = 2.5  

r = 2.5/2 = 1.25  

V = (4/3)π(1.25^3) = 8.181  

volume of three spheres:  

3 × V = 3 × 8.181

= 24.543 cubic inches  

Then we get the difference to find the unused volume of the container:  

60.083 - 24.543 = 35.540 cubic inches

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