Physics Heat Help?

1. Coefficient of volumetric expansion of copper
= 3 x (11.1 x 10^-6) = 33.3 x 10^-6

Hence, 0.46/100 = 33.3 x 10^-6(T)
where T is the rise in temperature
hence, T = 138 'C
The new temperature = (20 + 138)'C = 158'C

2. New volume of liquid after cooling down from 32.2'C to 5'C
= 529 x [1 + 0.000109 x (5 - 32.2)] c.c.
= 527.4 c.c.

Volumetric expansion of glass
= 3 x (3.2 x 10^-6) = 9.6 x 10^-6
New volume of beaker after cooling
= 529 x [1 + 9.6 x 10^-6 x (5 - 32.2)] c.c.
= 528.9 c.c.

Hence, difference in new volume
= (528.9 - 527.4) c.c. = 1.5 c.c.
Therefore, 1.5 c.c. of liquid can be put into the beaker after cooling.