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The volume of a sphere is 2cm3. what is the diamater of the sphere? 

 Dec 21, 2014

Best Answer 

 #1
avatar+128474 
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The volume of a sphere is given by  (4/3)pi*r^3.....so we  have....

2 = (4/3)pi*r^3   multiply both sides by 3/4

3/2 = pi*r^3       divide both sides by pi

3/(2 pi) = r^3      take the cube root of both sides

r = about .78159

And since the diameter is twice the radius, 2r = 1.56318

 

 Dec 21, 2014
 #1
avatar+128474 
+5
Best Answer

The volume of a sphere is given by  (4/3)pi*r^3.....so we  have....

2 = (4/3)pi*r^3   multiply both sides by 3/4

3/2 = pi*r^3       divide both sides by pi

3/(2 pi) = r^3      take the cube root of both sides

r = about .78159

And since the diameter is twice the radius, 2r = 1.56318

 

CPhill Dec 21, 2014

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