This question needs to be wrtten in Matlab coding. User written functions and ne

Question

This question needs to be wrtten in Matlab coding.

User written functions and nested loops A spherical water tank is elevated to a height H. The diameter of the tank is D_ The water supply pipe from the tank is connected to the bottom of the tank and runs directly to the ground. The diameter of the supply pipe is D_ Write a user written function that expects (as the argument) scalar values for the two diameters, the tank height, and the water level (from the ground). The function must return the volume of water contained in the tank and supply pipe combined. The syntax of your function should be: TV Dtank, Dpipe,Htank Hwater) Test your code on for a tank diameter of 5 meters, a pipe diameter of 0.5 meters, a tank height of 50 meters, and a water height of 51 meters. In the command window type a = TV(5, 0.5, 50, 51). Check the result.

Explanation / Answer

function [vol] = TV (Dt,Dp,Ht,Hw)
Lp = Ht -(Dt)/2;
Vp = pi*Lp*Dp*Dp/4;
l = Hw-Lp;
c = sqrt(l*(Dt/2 *2 - l));
Vs = pi/6 *l*(3*c*c + l*l);
v = Vs+Vp;
v
endfunction

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