College

A ball has a volume of 6.2 cubic inches. Find the radius of the ball. (Round your answer to two decimal places.)

Answer :

Final answer:

In Mathematics, you can find the radius of a sphere or ball using the volume and the volume formula: Volume = 4/3 * π * r³. In this case, given the ball has a volume of 6.2 cubic inches, solving for r yields a radius of approximately 1.047 inches.

Explanation:

To find the radius of a ball given its volume, you can use the formula for the volume of a sphere. The formula is Volume = 4/3 * π * r³, where r is the radius of the sphere.

The given volume of the ball is 6.2 cubic inches. So you set the volume formula equal to the given volume and then solve for the unknown radius:

6.2 = 4/3 * π * r³

To simplify this, you would isolate the r^3 term by multiplying both sides by 3/4π, which gives you r^3 = 6.2 * 3/(4π), and then take the cube root of both sides to solve for r.

This gives you an answer of approximately 1.047 inches when rounded to two decimal places.

Learn more about the Radius of a Sphere:

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Hope this helps!

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