Question

A cylinder and a cone are of same base radius and of same height. Find the ratio of the volume of the cylinder to that of a cone.

Answer 1

here is your answer.....

Answer 2

Answer:

$Ratio \:of\: the \:volume\\\: of\: the\: cylinder\: to \:\\that \:of a cone= 3:1$

step by step explanation:

Dimensions of a cylinder:

Radius of the base = r units,

Height = h units

Dimensions of a cone:

Radius of the base = r units

Height = h units

$Ratio = \frac{Volume \: of \: the \:cylinder }{volume \: of \: the \: cone }\\=\frac{\pi r^{2}h}{\frac{1}{3}\times \pi r^{2}h}\\=\frac{1}{\frac{1}{3}}\\=\frac{3}{1}$

Therefore,

$Ratio \:of\: the \:volume\\\: of\: the\: cylinder\: to \:\\that \:of a cone= 3:1$

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