A conical vessel, whose internal radius is 12 cm and height 50 cm, is full of liquid. The contents are… · ABC26GN4766
Subject: General Aptitude · Chapter: Volume and Surface Area
A conical vessel, whose internal radius is 12 cm and height 50 cm, is full of liquid. The contents are emptied into a cylindrical vessel with internal radius 10 cm. Find the height to which the liquid rises in the cylindrical vessel.
Answer
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Explanation
Volume of the liquid in the cylindrical vessel $$\begin{aligned} & =\text{Volume of the conical vessel} \\ & =\left(\frac{1}{3}\times\frac{22}{7}\times12\times12\times50\right)\text{cm}^3=\left(\frac{22\times4\times12\times50}{7}\right)\text{cm}^3. \end{aligned}$$ Let the height of the liquid in the vessel be $h$. Then, $\frac{22}{7}\times10\times10\times h=\frac{22\times4\times12\times50}{7}$ or $h=\left(\frac{4\times12\times50}{10\times10}\right)=24$ cm.
Explanation as extracted from the printed page; notation may be imperfect.