Question:
A cylinder and a cone are of the same base radius and of same height. Find the ratio of the value of the cylinder to that of the cone
Solution:
Since, cylinder and a cone both are have same radius and height.
Therefore,
$\frac{V_{1}}{V_{2}}=\frac{\pi r^{2} h}{\frac{1}{3} \pi r^{2} h}$
$\frac{V_{1}}{V_{2}}=\frac{1}{\frac{1}{3}}$
$\frac{V_{1}}{V_{2}}=\frac{3}{1}$
$V_{1}: V_{2}=3: 1$
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