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Sand is piled up on a horizontal ground ...

Sand is piled up on a horizontal ground in the form of a regular cone of a fixed base of radius `R`.The coefficient of static friction between sand layers is `mu`.The maximum volume of sand that can be piled up, without the sand slipping on the surface is

A

`(muR^(3))/(3pi)`

B

`(muR^(3))/(3)`

C

`(piR^(3))/(3mu)`

D

`(mupiR^(3))/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
`tantheta=(h)/(R )=mu, V=(1)/(3)piR^(2)h`
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