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A cone and a sphere have the same volume. If the radius of the base of the cone equals the radius of the sphere, what is the height of the cone?

 Apr 21, 2017
 #1
avatar+633 
+5

Volume of cone/pyramid = ((pi)r2*height)/3

Volume of sphere = (4(pi)r3)/3

(pi)r2h=4(pi)r3

(pi)h=4(pi)r

h=4*r

the height of the cone is 4 times the radius of the cone or sphere

laugh

 Apr 21, 2017
 #2
avatar+1833 
+1

Thank you!!! :)

Mellie  Apr 21, 2017

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