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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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#1
+1224
+1

r≈3.53cm

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

Let V= volume

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

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
+24
+2

sphere volume=(4/3)ㅠr3

184/(4/3) = 138

138/pi = 43.9267642933631127

sqrt3(43.9267642933631127) = 3.5283885540070255616