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marshall27 [118]
3 years ago
12

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 b

asketballs 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.
Mathematics
1 answer:
lara [203]3 years ago
4 0

Answer:

2141.76 cubic inches

Step-by-step explanation:

Given that it measures 8.8 inches across a properly inflated basketball i.e. the diameter of each basketball is 8.8 inches.

So, the radius of the spherical ball is \frac{8.8}{2} =4.4 inches.

Now, a spherical solid has a volume given by \frac{4}{3} \pi r^{3}.

Hence, volume of air in side each basketball is = \frac{4}{3} \times \frac{22}{7}\times 4.4^{3} = 356.96 cubic inches.

Therefore, the total volume of air inside six balls will be = 6 × 356.96 = 2141.76 cubic inches. (Answer)

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