A sphere has a radius of 5 cm. What is its volume?

Question

UpStudy AI · Accepted Answer

To calculate the volume of a sphere, you can use the following formula:

$$
V = \frac{4}{3} \pi r^3
$$

**Where:**
- $$ V $$ is the volume of the sphere.
- $$ \pi $$ (pi) is approximately 3.14159.
- $$ r $$ is the radius of the sphere.

Given that the radius $$ r $$ is **5 cm**, let's plug the values into the formula:

$$
V = \frac{4}{3} \pi (5\, \text{cm})^3
$$

$$
V = \frac{4}{3} \pi (125\, \text{cm}^3)
$$

$$
V = \frac{500}{3} \pi\, \text{cm}^3
$$

$$
V \approx \frac{500}{3} \times 3.14159\, \text{cm}^3
$$

$$
V \approx 523.6\, \text{cm}^3
$$

**Therefore, the volume of the sphere is approximately 523.6 cubic centimeters.**
The volume of the sphere is approximately 523.6 cubic centimeters.

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