Question

a sphere has a radius of 5 inches. what is its volume? sphere $v = \frac{4}{3}\pi r^{3}$ 1. substitute the radius into the formula: $v = \frac{4}{3}\pi(5^{3})$ 2. evaluate the power: $v = \frac{4}{3}\pi(125)$ 3. simplify: $v = \square\pi$ in$^{3}$

Explanation:

Step1: Multiply the constants

Multiply \(\frac{4}{3}\) and \(125\).
\(V=\frac{4\times125}{3}\pi\)

Step2: Calculate the product

\(4\times125 = 500\).
So, \(V=\frac{500}{3}\pi\)

Answer:

\(\frac{500}{3}\)