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what is the volume of a sphere that has a surface area of 90,790 cm squared?

 
 Oct 2, 2014

Best Answer 

 #2
avatar+23245 
+5

The formula for the surface area of a sphere is:  SA  =  4·π·r²

The formula for the volume of a sphere is:          V   =  4/3·π·r³

Use the surface area to find the radius:     

           SA  =  4·π·r²

           90790  = 4·π·r²     --->     r²  ≈  7224.8386     --->     r   ≈  85 cm

Now, put that value into the formula for the volume of a sphere:

         V  =  4/3 ·π·(85)³

and finish ...

 Oct 2, 2014
 #1
avatar+271 
0

Go to formulary and click on sphere. I'm not sure if we can do it with one formula, but you can combine them.

 Oct 2, 2014
 #2
avatar+23245 
+5
Best Answer

The formula for the surface area of a sphere is:  SA  =  4·π·r²

The formula for the volume of a sphere is:          V   =  4/3·π·r³

Use the surface area to find the radius:     

           SA  =  4·π·r²

           90790  = 4·π·r²     --->     r²  ≈  7224.8386     --->     r   ≈  85 cm

Now, put that value into the formula for the volume of a sphere:

         V  =  4/3 ·π·(85)³

and finish ...

geno3141 Oct 2, 2014

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