+0  
 
0
51
2
avatar+2347 

The same amount of steel used to create eight solid steel balls, each with a radius of 1 inch, is used to create one larger steel ball. What is the radius of the larger ball?
 

tertre  Mar 25, 2018
Sort: 

2+0 Answers

 #1
avatar+85759 
+1

The  volume  of the 8 steel balls  =

 

8 * (4/3)pi    =    32/3 pi

 

So....to find the radius, r, of the large ball, we have

 

32/3 pi  =  (4/3)pi (r)^3

 

(32/ 3) (3/4)  = r^3

 

32 / 4  =  r^3

 

8  =  r^3

 

r  = 2

 

 

cool cool cool

CPhill  Mar 25, 2018
 #2
avatar+2347 
+1

Thanks so much, CPhill!

tertre  Mar 25, 2018

25 Online Users

avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details