A solid sphere of radius 10 cm is subjected to a pressure of `5 xx 10^(8) Nm ^(-2),` then determine the change in its volume. Bulk modulus of material of sphere is `3.14 xx 10 ^(11) Nm ^(-=2).`

Explanation

`B = (P)/( Delta V //V) ` ( Neglecting negative sign)
`therefore Delta V = (PV)/(B)`
`= (5 xx 10 ^(8) xx (4)/(3) pi r ^(3))/( 3.14 xx 10 ^(11))`
`= ( 5 xx 10 ^(8) xx 4 xx 3.14 xx (0.1) ^(3))/( 3.14 xx 10 ^(11) xx 3)`
`= 0.00666 xx 10 ^(-3)`
`~~ 6.7 xx 10 ^(-6) m ^(3)`