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The surface area of a sphere is numerically equal to twice its volume. What is the radius of the sphere?

 
 Dec 31, 2024

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 #1
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The surface area of a sphere is numerically equal to twice its volume. What is the radius of the sphere?    

 

A = 4 π r2     V = (4/3) π r3    

 

4 π r2  =  (2)(4/3) π r3    

 

divide both sides by 4 π r2    

 

       1  = (2/3) r    

 

        r  =  3/2     

 

        r  =  1.5     

.    

 Dec 31, 2024
 #1
avatar+1297 
+1
Best Answer

 

The surface area of a sphere is numerically equal to twice its volume. What is the radius of the sphere?    

 

A = 4 π r2     V = (4/3) π r3    

 

4 π r2  =  (2)(4/3) π r3    

 

divide both sides by 4 π r2    

 

       1  = (2/3) r    

 

        r  =  3/2     

 

        r  =  1.5     

.    

Bosco Dec 31, 2024

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