Question

V = ddle" class="latex-formula">π³
The equation above can be used to calculate the volume V, of a sphere with radius r.


If the volume of a sphere is 288πcm3, what is the radius of the sphere in centimeters?


Please show solution. Giving brainliest + 20 points!

Answer 1

Answer:

The radius of the sphere is $6\ cm$

Step-by-step explanation:

we know that

The volume of a sphere is equal to

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

In this problem we have

$V=288\pi\ cm^{3}$

substitute and solve for r

$288\pi=\frac{4}{3}\pi r^{3}$

simplify

$288*3/4=r^{3}$

$r^{3}=216$

$r=6\ cm$