Tennis balls with a 3 inch Diameter are sold in cans of three. The can is a cylinder A)what is the volume of one tennis ball ?B)what is the volume of the cylinder ?C)how much space is not occupied by the tennis balls in the can?

Answer:Step-by-step explanation:A) The equation for the volume of a sphere is [tex]V=\frac{4}{3} \pi r^{3}[/tex]As the diameter of each ball is 3 inches, that would mean that the radius of each is 1.5 inches.Now we can plug our value into the equation[tex]V=\frac{4}{3} \pi (1.5)^{3}[/tex]This would simplify toV = 14.12716694 [tex] in^{3}[/tex] B) The equation for the volume of a cylinder is [tex]V=d\pi h[/tex]As there are 3 balls in a container and the diameter of each is 3, that would mean that the height is 9 inchesNow we can plug in our values into the equation[tex]V = (3)(9)\pi[/tex]This would mean that this equation would simplify to[tex]V = [/tex] 27\pi [tex]in^{3}[/tex]C) To find the empty space, we must take the total volume, the volume of the cylinder, and subtract the volume of the tennis ballsThis would mean that the equation would look like this[tex](27\pi)-(3(\frac{4}{3} \pi (1.5)^{3})) [/tex]This would simplify to42.41150082 [tex]in^{3}[/tex] of empty space.