what is the radius of a sphere with volume the volume 184cm3, correct to 2 decimal places.

Guest May 24, 2017

#1**+1 **

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 184cm^{3 },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 |

TheXSquaredFactor
May 24, 2017

#2**+2 **

sphere volume=(4/3)ㅠr^{3}

184/(4/3) = 138

138/pi = 43.9267642933631127

sqrt3(43.9267642933631127) = 3.5283885540070255616

radius = 3.53

bennykim0905
May 24, 2017