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Anvils made of single crystal of diamond...

Anvils made of single crystal of diamond , with shape as shown in fig. are used to investigate behaviour of materials under very high pressure. Flat faces at the narrow end of the anvil have a diameter of 0.5 mm, and the wide ends are subjected to a compressional force of 50,000 N. What is the pressure at the tip of the anvil?

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Diameter of the cones at the narrow ends, d = 0.50 mm = `0.5xx10^(-3)` m
Radius, `r=(d)/(2)=0.25xx10^(-3)` m
Compressional force, F = 50000 N
Pressure at the tip of the anvil:
`p=("Force")/("Area"pi)=(F)/(r^(2))`
`=(50000)/(pi(0.25xx10^(-3))^(2))`
`=2.55xx10^(11)` Pa
Therefore, the pressure at the tip of the anvil is `=2.55xx10^(11)` Pa.
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