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a cone and a sphere have the same radius and the same volume.what is the relation between the height(h) and the radius(r) of this cone?

 Apr 26, 2015

Best Answer 

 #1
avatar+33615 
+5

$$\\
\text{Volume of sphere = }\frac{4}{3}\pi r^3\\\\
\text{Volume of cone = }\frac{1}{3}\pi r^2h\\\\
\text{I'll leave you to equate the two volumes and rearrange to get h =}$$

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.
 Apr 26, 2015
 #1
avatar+33615 
+5
Best Answer

$$\\
\text{Volume of sphere = }\frac{4}{3}\pi r^3\\\\
\text{Volume of cone = }\frac{1}{3}\pi r^2h\\\\
\text{I'll leave you to equate the two volumes and rearrange to get h =}$$

.

Alan Apr 26, 2015

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