Question

2.2 (30 points) (35 minutes) The pressure vessel shown at right is made up of a cylinder with a radius, R, of 0.75m and a length, L, of with hemispherical ends each having the same radius, R, of 0.75m. You must write a function that will calculate the volume of water in the cylinder given the water level in the tank as input. The function must use \"switch-case\" structure based on the value of $h$ and call three different sub-functions. The water level is given by the variable $h$ measured from the very bottom of the ank. If the water level does not exceed the level of the lower hemisphere, then the volume of water, $V$, is given by the expression: $V = \pi h^2 R - \frac{\pi}{3} h^3$ If the water level is somewhere in the straight section in the middle, then the volu me is given by the following expression: $V = \frac{2\pi}{3} R^3 + \pi R^2 (h - R)$ If the water level is in the upper hemisphere, then the volume is given by the following expression: $V = \frac{2\pi}{3} R^3 + \pi R^2 L + \pi R^2 (h - L - R) - \frac{\pi}{3} (h - L - R)^3$ Your function should have one input for water level ($h$) and one output for water volume ($V$).

          2.2 (30 points) (35 minutes)
The pressure vessel shown at right is made up of a cylinder with a radius, R, of 0.75m and a length, L, of
with hemispherical ends each having the same radius, R, of 0.75m.
You must write a function that will calculate the volume of water in the cylinder given the water level
in the tank as input. The function must use \"switch-case\" structure based on the value of $h$ and call three
different sub-functions. The water level is given by the variable $h$ measured from the very bottom of the
ank. If the water level does not exceed the level of the lower hemisphere, then
the volume of water, $V$, is given by the expression:
$V = \pi h^2 R - \frac{\pi}{3} h^3$
If the water level is somewhere in the straight section in the middle, then the
volu me is given by the following expression:
$V = \frac{2\pi}{3} R^3 + \pi R^2 (h - R)$
If the water level is in the upper hemisphere, then the volume is given by the
following expression:
$V = \frac{2\pi}{3} R^3 + \pi R^2 L + \pi R^2 (h - L - R) - \frac{\pi}{3} (h - L - R)^3$
Your function should have one input for water level ($h$) and one output for
water volume ($V$).

2.2 (30 points) (35 minutes)
The pressure vessel shown at right is made up of a cylinder with a radius, R, of 0.75m and a length, L, of
with hemispherical ends each having the same radius, R, of 0.75m.
You must write a function that will calculate the volume of water in the cylinder given the water level
in the tank as input. The function must use s̈witch-cases̈tructure based on the value of h and call three
different sub-functions. The water level is given by the variable h measured from the very bottom of the
ank. If the water level does not exceed the level of the lower hemisphere, then
the volume of water, V, is given by the expression:
V = π h^2 R - (π)/(3) h^3
If the water level is somewhere in the straight section in the middle, then the
volu me is given by the following expression:
V = (2π)/(3) R^3 + π R^2 (h - R)
If the water level is in the upper hemisphere, then the volume is given by the
following expression:
V = (2π)/(3) R^3 + π R^2 L + π R^2 (h - L - R) - (π)/(3) (h - L - R)^3
Your function should have one input for water level (h) and one output for
water volume (V).

Added by Nerea C.

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