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

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

• A. 0.00228
• B. 0.02279
• C. 0.2279
• D. 2.279

Answer: (D)

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 \(

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 (