A cylinder and a cone have the same height and same radius of the base. The ratio of the volumes of the cylinder to that of the cone is ________.

1 : 3

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3 : 1

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1 : 2

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2 : 1

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Solution

The correct option is C $3 : 1$
Volume of a Cone : $\frac{1}{3} \times π \times r^{2} \times h$

Volume of a Cylinder : $π \times r^{2} \times h$

Given that Height ( $h$ ) and Radius( $r$ ) are equal, $\to h = r$

$\Rightarrow$ Ratio of Volume of Cylinder to Volume of Cylinder $= 3 : 1$

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A cylinder and a cone have the same height and same radius of the base. The ratio of the volumes of the cylinder to that of the cone is ________.

The correct option is C 3:1Volume of a Cone : 13×π×r2×hVolume of a Cylinder : π×r2×hGiven that Height (h) and Radius(r) are equal, →h=r⇒ Ratio of Volume of Cylinder to Volume of Cylinder =3:1

The correct option is C $3 : 1$
Volume of a Cone : $\frac{1}{3} \times π \times r^{2} \times h$

Volume of a Cylinder : $π \times r^{2} \times h$

Given that Height ( $h$ ) and Radius( $r$ ) are equal, $\to h = r$

$\Rightarrow$ Ratio of Volume of Cylinder to Volume of Cylinder $= 3 : 1$