+0  
 
0
219
2
avatar+3429 

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
 #1
avatar+92533 
+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+3429 
0

Thanks so much, CPhill!!!!!

tertre  Mar 27, 2018

37 Online Users

avatar
avatar
avatar
avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.