Question

the formula $v = \frac{4}{3}\pi r^{3}$ gives the volume $v$ of a sphere with radius $r$. what is the volume, in cubic inches, of a sphere with a radius of 6 inches? choose 1 answer: a $864\pi$ b $288\pi$ c $216\pi$ d $48\pi$

Explanation:

Step1: Substitute radius value

Substitute $r = 6$ into $V=\frac{4}{3}\pi r^{3}$, so $V=\frac{4}{3}\pi\times6^{3}$.

Step2: Calculate $6^{3}$

$6^{3}=6\times6\times6 = 216$, then $V=\frac{4}{3}\pi\times216$.

Step3: Multiply by $\frac{4}{3}$

$\frac{4}{3}\times216 = 288$, so $V = 288\pi$.

Answer:

B. $288\pi$