Volume of solids of revolution: the cone. Part 1. Full article at: http://www.firsttimeprogrammer.blogspot.com/2015/03/volume-of-solids-of-revolution-cone.html

solid_of_revolution.m

% Solid of revolution %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
syms x
syms y

% Cone height
h = 10;

% Our generator function
y1 = @(x) 1/2*x;

% Our generator function raised to the 2nd power
y2 = @(x) (1/2*x)^2;

% Volume of the cone (radius is implicitly 5)
v = pi * int(y2,x,0,h)