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Find the volume of the greatest right ci...

Find the volume of the greatest right circular cone, which can be cut from a cube of a side 4 cm. (in `cm^(3)`)

A

`(12pi)/(5)`

B

`(20pi)/(3)`

C

`(18pi)/(5)`

D

`(16pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D

Let the diameter of cone be the edge of the square
` :. l=4cm`
`h=4cm`
`r=2 cm`
Volume of a cone `=(1)/(3) pi r^(2)h`
`implies V=(1)/(3) pi (2)^(2)*4`
`implies V=(1)/(3)pi*16`
` :. V= (16)/(3) pi cm^(3)`
` :. ` Correct option is (d).
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