If the volume of a sphere is 2,123 cubic cm, what is its radius in cm?

If the volume of a sphere is 2,123 cubic cm, what is its radius in cm?

• A. 9
• B. 8
• C. 7
• D. 6

Answer: (B)

To find the radius of a sphere given its volume, you can use the formula for the volume of a sphere, which is expressed as: \[ V = \frac{4}{3} \pi r^3 \] Where \( V \) is the volume and \( r \) is the radius. Given that the volume is 2,123 cubic centimeters, you can rearrange the formula to solve for the radius: 1. Set the volume equal to the formula: \[ 2123 = \frac{4}{3} \pi r^3 \] 2. To isolate \( r^3 \), multiply both sides by \(\frac{3}{4\pi}\): \[ r^3 = \frac{3 \times 2123}{4 \pi} \] 3. Calculate \(\frac{3 \times 2123}{4 \pi}\): - First, calculate \(3 \times 2123 = 6369\). - Next, divide by \(4 \pi\) (approximating \(\pi \approx 3.14\)): \[ r^3 \approx \frac{6369}{4 \times 3.

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

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

Where ( V ) is the volume and ( r ) is the radius.

Given that the volume is 2,123 cubic centimeters, you can rearrange the formula to solve for the radius:

1. Set the volume equal to the formula:

[ 2123 = \frac{4}{3} \pi r^3 ]

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

[ r^3 = \frac{3 \times 2123}{4 \pi} ]

3. Calculate (\frac{3 \times 2123}{4 \pi}):

• First, calculate (3 \times 2123 = 6369).

• Next, divide by (4 \pi) (approximating (\pi \approx 3.14)):

[ r^3 \approx \frac{6369}{4 \times 3.