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6
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A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 1/3x. Find the height of the cone in terms of y.

 May 31, 2021
 #1
avatar+1744 
+2

x^2*pi*y is the volume of the cylinder. 

(1/3x)^2*(ay)/3 is the volune of the cone. 

Set them equal to each other and find what a is. 

 

=^._.^=

 May 31, 2021
 #6
avatar+21 
+1

hmm...

snipezyy  Jun 4, 2021
 #2
avatar+1291 
+3

Height of a cylinder = y

 

Height of a cone = 27y

 May 31, 2021
 #5
avatar+21 
+1

yep, thats correct

snipezyy  Jun 4, 2021
 #3
avatar+1301 
+2

A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has a radius of 1/3x. Find the height of the cone in terms of y.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The height of a cylinder     y = V / r2pi

The height of a cone        (n)y = 3V / (r / 3)2pi

 

                                      (n)y / y = [3V / (r / 3)2pi] / (V / r2pi) = 27

 

The height of a cone = 27y

 May 31, 2021
 #4
avatar+21 
+1

thank you!

snipezyy  Jun 4, 2021

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