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+clc;
+clear all;
+disp("cylindrical thermometer ")
+R=3/2000;//m
+h=55;//W/m^2.C
+k=8.8;// W/m.C
+a=0.0166;// m^2/h
+c=420;// J/kg.C
+L=1;//m
+
+As=2*3.1416*R*L;//m^2
+V=3.1416*(R^2);//m^3
+
+
+tau1=k*V*3600/(h*a*As);
+disp("s",tau1,"tau* =")
+disp("for temperature to reach half its final")
+//theta/thetai=0.5=exp(-tau/tau1)
+tau= -tau1*log(0.5);
+disp("s",tau,"time required to temperature to half its final value t =")