anyway - this is an puzzle which should not pose any problems to you
to solve with a rocket speed hopefully:
- just take an aluminum cylinder 86mm in diameter, and 35cm long;
- with it's walls uniformly 3mm this;
- and with both ends just closed by two circles of the same material,
and the same wall thickness - so there is a give quantity of air trapped
within;
- now, place it into a thermostat, set to an uniform 40 deg. Celsius;
- considering that air was trapped at 20 deg. Celsius;
- take a coefficient of linear expansion of aluminum and air in the
range
from 20 to 40 deg. Celsius;
and calculate by which percentages (you can also give it in absolute
numbers) [a] diameter of cylinder will increase, and
what will be
it expanded length at 40 deg. Celsius.
being a Rocket Scientist you've no doubt realized by now, that a
cylinder
is a simplified model of a lens, and also the changing of units from SI
to any other system of your's choice will not pose unsurmountable
obstacle;