Question 16 of 21

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.
681.47 cubic inches
1,651.32 cubic inches
3,775.23 cubic inches
5,451.78 cubic inches

Question

Question 16 of 21

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.
681.47  cubic inches
1,651.32  cubic inches
3,775.23  cubic inches
5,451.78  cubic inches

mathstudent55 · Answer

You need to find the volume of a sphere.

$\large V_{sphere} = \dfrac{4}{3} \pi r^3$

r is the radius of the sphere.
Find the volume of one ball and multiply by 6.