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

Guest May 24, 2017
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2+0 Answers

 #1
avatar+815 
+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,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
avatar+24 
+2

sphere volume=(4/3)ㅠr3 

184/(4/3) = 138

138/pi = 43.9267642933631127

sqrt3(43.9267642933631127) = 3.5283885540070255616

radius = 3.53

bennykim0905  May 24, 2017

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