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Question
A rectangular vessel of dimensions 20 cm × 16 cm × 11 cm is full of water. This water is poured into a conical vessel. The top of the conical vessel has its radius 10 cm. If the conical vessel is filled completely, determine its height.
Solution
Volume of cone \[= \frac{1}{3} \pi r^2 h\]
\[\frac{1}{3} \pi r^2 h = 20 \times 16 \times 11\]
height of cone (h) = `(3 xx 20 xx 16 xx 11 xx 7)/(22 xx 100)`
`= 33.6cm`
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