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Question
A metalic solid cone is melted to form a solid cylinder of equal radius. If the height of the cylinder is 6 cm, then the height of the cone was
Options
10 cm
12 cm
18 cm
24 cm
Solution
Let the height of the cone be h.
Volume of cylinder = Volume of cone
\[\Rightarrow \pi r^2 \left( 6 \right) = \frac{1}{3}\pi r^2 h\]
\[ \Rightarrow h = 18 cm\]
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