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A spherical water tank holds 9000^3 of water. What is the diameter of the tank? 

 Jun 8, 2017
 #1
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We have that

 

Volumesphere  =  (4/3)pi (radius)^3

 

9000  =  (4/3)pi (radius)^3     divide both sides by (4/3)pi

 

9000/ [ (4/3)pi ]  =  radius^3       takethe cube root of both sides

 

 ∛  ( 9000/ [(4/3)pi] )  =  radius  ≈ 12.9  units

 

And the diameter is twice this ≈  25.8  units

 

 

 

cool cool cool

 Jun 8, 2017

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