Random
Geometry
Level
2
A solid sphere of radius x cm is melted and cast into the shape of a solid cone of height cm, the radius of the base of the cone is :
4x cm
x cm
2x cm
3x cm
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1 solution
volume\quad of\quad sphere\quad =\frac { 4 }{ 3 } \pi { x }^{ 3 }\\ Volume\quad of\quad cone=\frac { 1 }{ 3 } \pi { r }^{ 2 }x\\ \frac { 4 }{ 3 } \pi { x }^{ 3 }=\frac { 1 }{ 3 } \pi { r }^{ 2 }x\\ \Rightarrow r=2x