Question

You are looking to give your tennis-loving Uncle a box of tennis balls for his birthday. You found a box that was 38 inches x 24 inches x 17 inches. If a tennis ball has a diameter of 2.25 inches, about how many tennis balls would you need to buy to fill up the box?

Answer 1

To fill up the box, you would need to buy 1095 tennis balls

Step-by-step explanation:

To find out how many tennis balls you would need to fill up the box, you first need to calculate the volume of the box. The volume of a rectangular box can be found by multiplying its length, width, and height. In this case, the volume would be:

1. 38 inches x 24 inches x 17 inches = 15456 cubic inches

Since we know that the diameter of a tennis ball is 2.25 inches, we can use the formula for the volume of a sphere to find out how many tennis balls would fit in the box:

1. (4/3) * π * (2.25/2)^3 = 14.135 cubic inches

Finally, we can divide the volume of the box by the volume of a tennis ball to find the number of tennis balls that would fit:

1. 15456 cubic inches / 14.135 cubic inches = 1094.3 tennis balls

Since you can't have a fraction of a tennis ball, you would need to buy 1095 tennis balls to fill up the box.