Question

the volume of the sphere is \\(\frac{500}{3}\pi\\) cubic units.

what is the value of \\(x\\)?

4 units
5 units
8 units
10 units

Explanation:

Identify the given values and formula

We are given that the volume of the sphere is \(V = \frac{500}{3}\pi\) cubic units. The radius of the sphere is labeled as \(x\). The formula for the volume of a sphere is:

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

Set up the equation for x

Using the Literal Equations knowledge point

$$ \frac{4}{3}\pi x^3 = \frac{500}{3}\pi $$

Solve for x

Using the Literal Equations knowledge point

$$
LATEXBLOCK0
$$

Answer:

• 4 units
• 5 units (Correct answer)
• 8 units
• 10 units