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Question

# A sphere, a cylinder, and a cone are of the same radius and same height.(Radius is equal to height). Find the ratio of their volumes.

A

2:1:3

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B

4:3:6

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C

2:3:2

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D

1:2:3

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Solution

## The correct option is B 4:3:1∵ Radius and heights of a Sphere, Cylinder and a cone are equal.Let ′r′ be the radius and ′h′ be their heights.It is given that, r=hNow, Volume of Sphere =43πr3 and volume of cylinder =πr2h=πr3volume of cone =13πr2h=13πr3∴ Ratio in their volumes =43πr3:πr3:13πr3=43:1:13=43×3:1×3:13×3=4:3:1

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