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A soccer ball has a volume of 10770.86 cubic centimeters. What is the diameter of this soccer ball? Round your answer to the nearest tenth. Use the approximate value of π, which is 3.14.Answer:Question 4

Question

A soccer ball has a volume of 10770.86 cubic centimeters. What is the diameter of this soccer ball? Round your answer to the nearest tenth. Use the approximate value of π, which is 3.14.Answer:Question 4

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Solution

To find the diameter of the soccer ball, we first need to understand that the volume of a sphere (which a soccer ball is) can be calculated using the formula:

V = 4/3 * π * r³

Where V is the volume, r is the radius, and π is a mathematical constant whose approximate value is 3.14.

Given that the volume of the soccer ball is 10770.86 cubic centimeters, we can rearrange the formula to solve for the radius:

r = ∛(3V / 4π)

Substituting the given values:

r = ∛(3 * 10770.86 / 4 * 3.14) r = ∛(32312.58 / 12.56) r = ∛(2571.5) r = 13.7 cm

The diameter of a sphere is twice the radius, so:

d = 2r d = 2 * 13.7 d = 27.4 cm

So, the diameter of the soccer ball is approximately 27.4 cm, rounded to the nearest tenth.

This problem has been solved

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