Question

25 points! the radius r of a sphere with volume v is given by r= (3v/4π)

find the radius of a ball that hold 66 cubic centimeters of air.

Answer 1

Explanation:

To find the radius of a sphere that holds 66 cubic centimeters of air, we can use the formula provided in the question:

r = (3v/4π)

where v is the volume of the sphere. We are given that the volume of the sphere is 66 cubic centimeters, so we can substitute this value into the formula:

r = (3 x 66) / (4 x π)

Simplifying this expression:

r = 198 / (4π)

Using a calculator to evaluate this expression:

r ≈ 15.8267

Therefore, the radius of the sphere that holds 66 cubic centimeters of air is approximately 15.8267 centimeters.

Answer 2

To find the radius of a ball that holds 66 cubic centimeters of air:

1. Substitute the given volume into the equation r= (3v/4π): r = (3*66/4π).

2. Simplify the equation: r = (198/4π).

3. Calculate the value of 4π: 4π = 12.57.

4. Divide 198 by 12.57: r = 15.75.

5. The radius of the ball that holds 66 cubic centimeters of air is 15.75 cm.