what is the radius of a sphere with volume the volume 184cm3, correct to 2 decimal places.
+2446 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 |
+24 sphere volume=(4/3)ㅠr3
184/(4/3) = 138
138/pi = 43.9267642933631127
sqrt3(43.9267642933631127) = 3.5283885540070255616
radius = 3.53
