Question

Now it's time to move on to the second challenge called Tennis Trouble. The second challenge is to figure out how many tennis balls fit in a specially designed container. The radio station will give away a prize pack and a pair of front row tickets to the winner of this challenge! Each tennis ball is 2.63 inches in diameter. A sketch of the specially designed container is below. How many tennis balls can fit inside the container? How many more tennis balls could fit into the container if the container’s dimensions are doubled? You must show all work to receive credit.

Answer 1

@Directrix

@DorianGray

Answer 2

Find the volume of the sphere (They give you the diameter and you can find it from there), then see how many times it can go into the specified container (You know the diameter of the base, the height of the cylinder, and the height of the cone). That would give you your first answer. Then, double the dimensions of the container and see how many times the sphere's volume would go into that. Unless, of course, it is also a question about how many, in actual reality, you can fit in, because the balls would not be able to fit perfectly in due to their curved surfaces which would cause space between each ball, not giving it a true fit, but I presume that they just mean volume in theory. Hope this helps.