radius of a sphere (please help)

r≈3.53cm

 

The following formula can be used to find the area of a sphere:

Let V= volume

Let r= radius

\(V=\frac{4}{3}\pi r^3\)

 

Now, let's plug the information we know back into the equation. We know that the volume equals 184cm³ ,so let's use that and then isolate r, the radius:

 

\(184=\frac{4}{3}\pi r^3\)	Multiply by 3/4 on both sides
\(138=\pi r^3\)	Divide by π on both sides
\(\frac{138}{\pi}=r^3\)	Take the cube root of both sides
\(r=\sqrt[3]\frac{138}{\pi}\approx3.53cm\)	Evaluate estimation with a calculator

sphere volume=(4/3)ㅠr³ 

184/(4/3) = 138

138/pi = 43.9267642933631127

sqrt3(43.9267642933631127) = 3.5283885540070255616

radius = 3.53