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  
 
-1
275
2
avatar+464 

A right cylinder with a base radius of 3 units is inscribed in a sphere of radius 5 units. The total volume, in cubic units, of the space inside the sphere and outside the cylinder is W*pi. Find W, as a common fraction.

 Oct 17, 2018
 #1
avatar+100439 
+1

Sphere volume =  (4/3) pi (5)^3   =  500/3  pi

 

(1/2) the height of the cylinder is given by  sqrt  [ 5^2 - 3^2 ] = sqrt (16)  = 4

So....the total  height  = 8

 

Cylinder volume  = pi * (3^2) * ( 8)  =  72 pi

 

Volume outside the cylinder but inside the sphere  =  pi [ 500 / 3 - 72 ]  =

 

[ 500 - 216 ] / 3  * pi   =  [284/3] pi

 

So  W  =   284 / 3

 

cool cool cool

 Oct 17, 2018
 #2
avatar+464 
+1

Thank you Chris

 Oct 17, 2018

11 Online Users

avatar