A metallic cone having base radius 2.1 c...

A metallic cone having base radius `2.1 cm` and height `8.4 cm` is melted and moulded into a sphere. The radius of the sphere is

A

`2.1 cm `

B

`1.05 cm`

C

`1.5 cm`

D

`2 cm`

Text Solution

Verified by Experts

The correct Answer is:

A

`1/3pixx(2.1)^2xx8.4=4/3pixxr^3`
`rArr r^3=(1/3xx4.41xx8.4xx3/4)=(2.1)^3rArrr=2.1cm`

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