Problem $2\mathrm{.}3\mathrm{.}3-$ Petrol in a tank

In order to control the amount of petrol in the tank of

the figure, a floater of negligible size is used. The

actual measurement, then translated to volume, is

the length $h,$ as measured in either the green or the

red size. For simplicity, you may consider the tank

with constant base $0\mathrm{.}3m0\mathrm{.}3m.$ Compute, for each

case,

a$)$ The measurement $h$ when a volume $V$ is in the

tank

b$)$ The measurement when the volume is $V$ and the

tank is accelerating at $2\frac{m}{s}$

c$)$ The measurement with a volume $V$ when the car

is at rest in a ramp with $10$ of inclination.