Question

A cylinder and a cone are of same base radius and same height. The ratio of the volumes of the cylinder toof the cone isa)b) ) d)​

Answer 1

${\large{\underbrace{\underline{\bf{Correct Question:-}}}}}$

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

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${\large{\underbrace{\underline{\bf{Answer:-}}}}}$

Let 'r' be the base radius.

Let 'h' be the height.

Volume of cylinder = πr²h

Volume of cone = $\frac{1}{3}$ πr²h

$\frac{Volume \ of \ Cylinder}{Volume \ of \ Cone}$ =  πr²h/ $\frac{1}{3}$ πr²h

=  $\frac{3}{1}$

∴ the required ratio is 3 : 1

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