Question

Jake volunteers to help out his younger brother's basketball team in his free time. One of his tasks is to ensure that all the basketballs have enough air in them. Given that a properly inflated basketball measures 8.8 inches across, what is the total volume of air inside six of Jake’s basketballs? Assume that the wall of each ball is infinitely thin.

Answer 1

Using the volume of a sphere, the total volume of air inside six of Jake's basketballs is of 2140.8 cubic inches.

What is the volume of a sphere?

The volume of a sphere of radius r is given as follows:

$V = \frac{4\pi r^3}{3}$

From the problem, since the properly inflated basketball measures 8.8 inches across, the diameter is of 8.8 inches, hence the radius is:

r = 8.8/2 = 4.4 inches.

Then the volume in cubic inches of a single ball is:

V = 4 x pi x (4.4)³/3 = 2140.8 cubic inches.

For the six balls:

6 x 356.8 = 2140.8 cubic inches.

More can be learned about the volume of a sphere at https://brainly.com/question/25608353

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