Brain Easier
Geometry
Level
2
Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius "r".
2/3
22/7
r
r
r
1/3 * 22/7 * r
r
r
1/3* 22/7* r
1/3* 22/7
r
r
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1 solution
The cone of max volume has radius = r and height = r.
so, max volume of cone (1/3 x pi x r^2 x h) = 1/3 x pi x r^2 x r = 1/3 x 22/7 x r x r x r.