Question

identify the coefficient(s) in the formula for the volume of a sphere. $v = \frac{4}{3}\pi r^{3}$ select all that apply. select all that apply: $\frac{4}{3}$ $r$

Explanation:

Step1: Recall coefficient definition

A coefficient is a multiplicative factor in a term of a polynomial, a series, or an expression. In the formula $V=\frac{4}{3}\pi r^{3}$, we are looking for the constant - like factors multiplying the variable part.

Step2: Analyze formula components

The variable in the formula for the volume of a sphere $V = \frac{4}{3}\pi r^{3}$ is $r$. The factors $\frac{4}{3}$ and $\pi$ are multiplying the variable $r^{3}$. Since $\pi$ is not in the options, the coefficient of $r^{3}$ is $\frac{4}{3}$. The variable $r$ itself is not a coefficient.

Answer:

$\frac{4}{3}$