Question

A water tank is designed with a conical section and a cylindrical section and all dimensions related to the radius, R, as shown in the figure below 2R Write a function that accepts the depth, d, of the water and the characteristic dimension, R and calculates the total volume of water stored in the tank Your function should calculate the volume correctly regardless of the depth and return a value of 999 for the case when d 3R(ie the tank is overflowing) Supplemental Deliverables (5 points): For supplemental deliverables, you do not need to run your code in Matlab Grader. You have to turn in a hard copy of what is asked Use the function to calculate the volume as a function of d for R- 1.5 and d ranging from 0 to 4.5 in increments of 0.3. Print your results for volume vs depth (values and plot) Your Function 1 function volume tank(d,R) % lírite your code here % volume is an output, representing the volume of the water % d is an input, representing the depth of the water level

what to type on your function
thanks

Answer 1

if you see the given image,

we can divide the tank in three sections

1)cone section

with radius=R and height=R

2)lower cylinder

with radius=R and height=d-R

3)upper cylinder

with radius=R and height=R

%%%%%%%%%%%%%%%%%MATLAB main code%%%%%%%%%%%%%%%%%

clc;
close all;
clear all;
d=0:0.3:4.5;%%%%depth value from 0 to 4.5 with step size 0.3
R=1.5;
for i=1:length(d)
volume(i)=tank(d(i),R);
end
plot(d,volume);
xlabel('depth');
ylabel('volume');
title('Tank');
disp('volume values');
disp(volume);

%%%%%%%%%%%%%FUCNTION%%%%%%%%%%%%%%%

function volume=tank(d,R)
if(d>(3*R))
volume=999;
else
v1=2*pi*(R^2)*(R);%%%%%%%%%%%%%%%volume of cylinder
v2=2*pi*(R^2)*(d-R);%%%%%%%%%%%%%%%volume of cylinder
v3=(pi*(R^3))/3;%%%%%%%%%%%%%%%volume of cone
volume=v1+v2+v3;
end
end

Tank 70 r 60 40 30 20 10 0 0.5 15 22.5 3 3.5 4 4.5 depth

volume values Columns 1 through 11 3.5343 7.7754 12.0166 16.2577 20.4989 24.7400 28.9812 33.2223 37.4635 41.7046 45.9458 Columns 12 through 16 50.1869 54.4281 58.6692 62.9104 67.1515