compute volume of two intersecting cylinders that have different angles in matlab in matlab

main.m
% Define the radii, heights, and angles of the cylinders
r1 = 3; % radius of first cylinder
r2 = 2; % radius of second cylinder
h1 = 5; % height of first cylinder
h2 = 4; % height of second cylinder
theta1 = 30; % angle of first cylinder in degrees
theta2 = 45; % angle of second cylinder in degrees

% Compute the volume of the intersecting region
v_intersect = calculateIntersectingCylinderVolume(r1, r2, h1, h2, theta1, theta2)

function v_intersect = calculateIntersectingCylinderVolume(r1, r2, h1, h2, theta1, theta2)
    % Convert angles to radians
    theta1 = deg2rad(theta1);
    theta2 = deg2rad(theta2);

    % Calculate the heights at which the cylinders intersect
    inter_height = (r1 / tan(theta1)) + (r2 / tan(theta2));

    % Calculate the volume of the intersecting region
    r_intersect = (r1 * r2) / sqrt((r1 * cos(theta1))^2 + (r2 * cos(theta2))^2);
    v_intersect = pi * r_intersect^2 * inter_height;
end
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