What is the radius of a sphere in cm if the volume is 49.56 cubic cm?

To find the radius of a sphere given its volume, you can use the formula for the volume of a sphere, which is:

[ V = \frac{4}{3} \pi r^3 ]

where ( V ) is the volume and ( r ) is the radius. If the volume of the sphere is 49.56 cubic cm, you can rearrange the formula to solve for the radius:

1. Start with the volume formula:

[ V = \frac{4}{3} \pi r^3 ]

2. Substitute the known volume into the formula:

[ 49.56 = \frac{4}{3} \pi r^3 ]

3. To isolate ( r^3 ), multiply both sides by ( \frac{3}{4\pi} ):

[ r^3 = \frac{49.56 \times 3}{4\pi} ]

4. Calculate ( \frac{49.56 \times 3}{4\pi} ):

[ 49.56 \times 3 = 148.68 ]

[ r^3 = \frac{148.68}{4\pi} ]

5. The value of (