Question

v = \frac{4}{3}\pi r^{3}
the formula gives the volume v of a sphere with radius r. if the volume of a sphere with a radius of 3 centimeters is k\pi cubic centimeters, what is the value of k?

Explanation:

Step1: Substitute radius value

Given $r = 3$ into $V=\frac{4}{3}\pi r^{3}$, we get $V=\frac{4}{3}\pi\times3^{3}$.

Step2: Calculate the value

$V=\frac{4}{3}\pi\times27 = 36\pi$.

Answer:

36