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A hemisphere-shaped bowl with radius 1 foot is filled full with chocolate. All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds. What is the radius of each of the smaller molds, in feet?

 

Thanks!

 May 17, 2018
 #1
avatar+98197 
+1

The  amount of chocolate  contained  in the large hemisphere  is just

 

(2/3)pi (1)^3  =  (2/3) pi ft^3

 

So....we want to solve this for r  to find the radius of each of the smaller hemispheres

 

 

(2/3) pi   =  27  (2/3) pi (r)^3

 

1  = 27 * r^3

 

1/27 =  r^3

 

1/3  = r   

 

So....r = 1/3 ft  

 

 

cool cool cool

 May 17, 2018
 #2
avatar+1442 
+1

Thank you!

AnonymousConfusedGuy  May 18, 2018

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