Help me for this question An aluminum fuel tank has a cylind

Help me for this question

An aluminum fuel tank has a cylindrical middle section and a semi-spherical ends. The outside diameter is 10 in., and the length of the cylindrical section is 24 in. The wall-thickness of the cylindrical section is t, and the wall-thickness of the semi-spherical ends is 1.5t. Determine t if the tank weight is 42.27 lb. The specific weight of aluminum is 0.101 lb/in^3. Determine the dimensions (radius r and height h) and the volume of the cylinder with the largest volume that can be made inside of a sphere with a radius R of 14 in.

Solution

Q9

%start the script

P=conv ([11.5-5], con ([1.5-5]))*(4*pi/3);

P (4) =p (4) + (4*pi/3)*5^3;

q=conv ([1-5], [1-5])*-1;

q (3) =q (3) +5^2;

q= [0 q];

q=pi*24*q;

z=p+q;

z (4)=z(4)-42.27lb

a=roots (z);

y=imag (a) ==0&real (a)>0&real (a) <15

t=a (find(y));

Fprint (‘t=%f in.\ ’t)

The following matlab output is

Y=

0

0

1

T=0.364535 in.

Therefore the value of t is =0.364535 in.