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Q.

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


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a

1:3

b

3 :1

c

1:2

d

2:1 

answer is B.

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Detailed Solution

From the question, we have
A cylinder and a cone have the same height and same radius of the base.
Volume of a Cone =13×π×r2×h
Volume of a Cylinder = π×r2× h
⇒ Ratio =Volume of a CylinderVolume of a Cone=π×r2× h13×π×r2×h =31= 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