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What is the radius of the sphere whose volume is 33 times its surface area?

 Oct 1, 2024
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What is the radius of the sphere whose volume is 33 times its surface area?    

 

                                            Vsphere  =  (4 / 3) π r3    

                                            Asphere  =  4 π r2    

 

                                                       V  =  33A    

 

                                          (4 / 3) π r3  =  33 4 π r2         

 

multiply both sides by 3             4 π r3  =  396 π r2     

 

divide both sides by π r2                  4r  =  396            

 

                                                           r  =  99    

.   

 Oct 1, 2024

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