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Find the radius of a sphere with a volume of 4.5π 4.5 π cubic centimeters.

Guest May 5, 2017

Best Answer 

 #1
avatar+7155 
+4

volume of a sphere = (4π/3)(radius3)

4.5π = (4π/3)(r3)

 

Divide both sides by (4π/3) .

4.5π / (4π/3) = r3

4.5π * 3/(4π) = r3

27/8 = r3

 

Take the cube root of both sides.

\(\sqrt[3]{\frac{27}{8}}=r \\~\\ \frac{\sqrt[3]{27}}{\sqrt[3]{8}}=r \\~\\ \frac{3}{2}=r\)

 

r = 3/2 centimeters

hectictar  May 5, 2017
edited by hectictar  May 5, 2017
edited by hectictar  May 5, 2017
 #1
avatar+7155 
+4
Best Answer

volume of a sphere = (4π/3)(radius3)

4.5π = (4π/3)(r3)

 

Divide both sides by (4π/3) .

4.5π / (4π/3) = r3

4.5π * 3/(4π) = r3

27/8 = r3

 

Take the cube root of both sides.

\(\sqrt[3]{\frac{27}{8}}=r \\~\\ \frac{\sqrt[3]{27}}{\sqrt[3]{8}}=r \\~\\ \frac{3}{2}=r\)

 

r = 3/2 centimeters

hectictar  May 5, 2017
edited by hectictar  May 5, 2017
edited by hectictar  May 5, 2017

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