We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
247
2
avatar+4078 

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?
 

 Mar 25, 2018
 #1
avatar+99397 
+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

 Mar 25, 2018
 #2
avatar+4078 
+1

Thanks so much, CPhill!

tertre  Mar 25, 2018

18 Online Users

avatar
avatar