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avatar+1164 

Would it just be half the volume? So, C?

Please explain thoroughly.

RainbowPanda  Mar 1, 2018
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3+0 Answers

 #1
avatar+86622 
+2

Unfortunately...it's not true that half the radius would mean half the volume

 

Let's find the original radius

 

904.32   =  (4/3) pi  * r^3     divide both sides by   (4/3)pi

 

904.32

______    =  r^3

  (4/3)pi

 

215.89  =  r^3

 

Take the cube root  

 

6   =  r^3

 

Half of this   =  3

 

So...the volume of a ball with half of the original radius is

 

(4/3) pi  (3)^3   = 

 

36 pi  =  113.09 in^3     ...the answer that is closest is

 

113.04  in^3

 

[ The  slight difference may be due to using 3.14 for  pi  ]

 

 

cool cool cool

CPhill  Mar 1, 2018
 #2
avatar+1164 
0

Thank you ^-^

RainbowPanda  Mar 1, 2018
 #3
avatar+86622 
+1

Here's another way to do this

 

The  new volume will  be   (1/2)^3  =  1/8  of the original volume....so

 

904.32  * (1/8)   =  113.04  in^3

 

 

cool cool cool

CPhill  Mar 2, 2018

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