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Virty [35]
3 years ago
10

The diameter of a basketball is approximately 9.5 inches and the diameter of a tennis ball is approximately 2.5 inches .The volu

me of a basketball is about how many times greater than the volume of the tennis ball ?
Mathematics
1 answer:
agasfer [191]3 years ago
3 0

Answer:

The correct answer is the basket ball is 54.87 times bigger in volume than the tennis ball.

Step-by-step explanation:

The diameter of a basketball is approximately given to be 9.5 inches.

The radius of the basket ball is given by \frac{9.5}{2} = 4.75 inches.

The volume of the basket ball is given by = \frac{4}{3} × π × radius^{3} = 449.1012 cubic inches.

The diameter of a tennis ball is approximately given to be 2.5 inches.

The radius of the tennis ball is \frac{2.5}{2} = 1.25 inches.

The volume of the tennis ball is given by = \frac{4}{3} × π × radius^{3} = 8.1845 cubic inches.

Ratio between the volume of the basketball and tennis is given by \frac{449.1011}{8.1845} = 54.87.

Thus the volume of the basket ball is 54.87 times greater than the volume of the tennis ball.

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You have two unknown rates, so we need to develop two equations to solve for these unknowns (based on the information given on the problem statement):

5x + 10y = 725
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By substitution, we get:

5x + 10(100 - x) = 725
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Thus:
The mechanic who worked for 5 hours charged his time at $55/hr, and the mechanic who worked for 10 hours charged his time at $45/hr.

To verify, plug and chug the results back into the original equations:

5(55) + 10(45) = 725
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55 + 45 = 100 [OK]
4 0
3 years ago
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3 years ago
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Naya [18.7K]

Answer:

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