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A right circular cylinder with radius 2 is inscribed in a hemisphere with radius 5 so that its bases are parallel to the base of the hemisphere. What is the height of this cylinder?

 Jul 30, 2019
 #1
avatar+104937 
+2

We can use the Pythagorean Theorem to find the height of the cylinder 

 

We have

 

height  = √ [ 5^2 - 2^2 ]  = √[25 - 4]   =  √21  units

 

Here is a cross-section of this : 

 

 

cool cool cool

 Jul 30, 2019
edited by CPhill  Jul 30, 2019
 #2
avatar+10639 
+1

A right circular cylinder with radius 2 is inscribed in a hemisphere with radius 5 so that its bases are parallel to the base of the hemisphere. What is the height of this cylinder?

 

https://free-picload.com/images/2019/07/30/214.jpg

laugh

 Jul 30, 2019
 #3
avatar+791 
+3

this is the picture Omi 67 putt.

 Jul 30, 2019

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