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 proper 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

Answer:

The volume is 2140.98 inches³

Step-by-step explanation

The basketballs are spherical, and it is known that the volume of a sphere is

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

Where V is the volume of the ball and r is its radius

They tell us that the ball measures 8.8 inches wide. This means that its diameter is 8.8 inches.

It is known that the radius of a sphere is equal to half its diameter.

Therefore, the radius r of the ball is:

$r = \frac{8.8}{2}$

r = 4.4 inches.

Then, they tell us to consider that the walls of the ball are infinitely thin, which means that we should not take into account their thickness in the calculation of the volume.

We already have all the data we need, now we proceed to calculate the volume.

$V = \frac{4}{3}\pi(4.4)^{3}\\V = 356.83 inches^{3}$

Where V is the volume of only one of the balls

The volume of the six balls is V = 6 * 356.83 = 2140.98 inches³

Finally the volume is 2140.98 inches³

Answer 2

Answer:

Step-by-step explanation:

4/3 * pi * (4.4)^3 * 6 = 8 * (4.4)^3 * pi = 681.472 * pi

The answer is : A) 681.47 * pi cubic inches