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3 years ago

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

2 answers:

aleksandr82 [10.1K]3 years ago

7 0

Answer:

681.47 π cubic inches

Step-by-step explanation:

Given : A properly inflated basketball measures 8.8 inches across.

To Find: What is the total volume of air inside six of Jake’s basketballs?

Solution:

Diameter of ball = 8.8 inches

Radius = Diameter/2 = 8.8/2 = 4.4

Since we need to calculate the volume of air inside the ball which is in the shape of sphere

So, formula we will use

Volume of sphere = $\frac{4}{3} \pi r^{3}$

Where r is radius and use π =3.14

Thus the volume of air inside the ball = $\frac{4}{3}*\pi *(4.4)^{3}$

= $\frac{4}{3}*\pi *85.184$

= $113.57\pi$

since there are 6 balls

So, Volume of air in 6 balls = $6*113.57\pi$

= $681.47\pi$

Hence the volume of air in six balls 681.47 π cubic inches

Gelneren [198K]3 years ago

3 0

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

The answer is : A) 681.47 * pi cubic inches

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Step-by-step explanation:

See comment for complete question

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