What is the volume of a volleyball with a diameter of 8 inches

Mathematics

1 answer:

natita [175]3 years ago

8 0

Hello there!

We are going to follow the volume of a sphere since a volleyball is a sphere. V=4/3πr^3 is the formula for finding the volume of a sphere. The only unknown value is r, or the radius. We find the radius by halving the diameter.

8/2 = 4, so we have a radius of 4 inches.

Place the value of 4 in for r - V = 4/3 x π x (4)^3

Now solve.

V = 4/3 x π x (4)^3

Start by squaring 4.

V = 4/3 x π x 64

Next, multiply 4/3 by 64. (<em>you can do it in any order since there are no parenthesis</em>)

V = π x 85.33

Lastly, multiply 85.33 by pi.

V = 268.08

So, your answer is approximately 268.08, since we used rounding it is not exact. I hope this was helpful and have a great rest of your day! :)

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Step-by-step explanation:

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Answer:
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Explanation:
The attached image shows a diagram representing the scenario described in the problem.
Taking a look at this diagram, we can note that the side length of the square is equal to the hypotenuse of the right-angled triangle
Therefore, we can get the side of the square by calculating the length of the hypotenuse using Pythagorean theorem as follows:
(hypotenuse)² = (length of first leg)² + (length of second leg)²
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