+0  
 
0
47
2
avatar+2347 

The volume of a cylinder is 60 cubic centimeters. What is the number of cubic centimeters in the volume of the sphere it circumscribes?

tertre  Mar 27, 2018
Sort: 

2+0 Answers

 #1
avatar+85759 
+1

Call the radius  of the cylinder and sphere, r

And the height  of the cylinder  = 2r

 

So

 

60  =  pi * r^2 * 2r

30 =  pi * r^3

30/pi  =  r^3

[30/pi]^1/3  =  r

 

So...the volume of the sphere is

 

(4/3)pi [ (30/pi)^1/3 ]^3  =

(4/3) pi * 30/pi  =

40 cm^3

 

We could  also  see this by the forllowing ratio

 

Vsphere      =   (4/3)pi *r^3              (4/3)                4                 2            40

_______          __________    =      _____  =     ______  =      __    =    ___

V cylinder         pi * r^2 * 2r                2                  6                  3            60

 

 

cool cool cool

CPhill  Mar 27, 2018
 #2
avatar+2347 
0

Thanks so much, CPhill!!!!!

tertre  Mar 27, 2018

31 Online Users

avatar
avatar
avatar
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