Answer:
629.92 [tex]cm^3[/tex]
Step-by-step explanation:
The minimum volume of the can that can hold 4 tennis balls must have at least the same volume as 4 tennis balls.
The volume of one tennis ball, V = [tex]\frac{4}{3}\pi r^3[/tex]
where r = radius of the tennis ball
The diameter of a ball = 6.7 cm
Its radius will be = 6.7 / 2 = 3.35 cm
Volume, V, will be:
[tex]V = \frac{4}{3}\pi (3.35)^3[/tex]
V = 157.48[tex]cm^3[/tex]
Hence, the volume of 4 balls will be:
4 * V = 4 * 157.48 = 629.92 [tex]cm^3[/tex]
The minimum volume that the cylindrical can has to have is 629.92 [tex]cm^3[/tex].