An interactive introduction to MATLAB

4.2the if-else statement 51

The if-else statement

(http://www.eng.ed.ac.uk/teaching/courses/matlab/unit04/if-else-

statement.shtml)

The following example is solved in the screencast:

Water level in a water tower†

The tank in a water tower has the geometry shown in Figure 14 (the lower

part is a cylinder and the upper part is an inverted frustum cone). Inside the

tank there is a float that indicates the level of the water. Write a user-defined

function that determines the volume of water in the tank from the position

(height) of the float. The volume for the cylindrical section of the tank is given

by:

V=π·12.5^2 ·h

The volume for the cylindrical and conical sections of the tank is given by:

V=π·12.5^2 · 19 +

1

3 π(h−^19 )(12.5

(^2) +12.5rh+rh (^2) ),
where rh=12.5+10.5
14
(h− 19 )
[h=8 m,V=3927 m^3 ;h=25.7 m,V=14115 m^3 ]
†Question adapted from Gilat, A. (2008).MATLAB : An Introduction With Applications. John
Wiley & Sons, Inc., 3rd edition. Copyright©2008 John Wiley & Sons, Inc. and reprinted
with permission of John Wiley & Sons, Inc.
12.5 m
h
14 m rh
19 m
23 m
Figure 14: Water level in a water tower