Find the position of the centre of mass of a lamina in the shape of a triangle formed by y = 1 - x, for 0 Show that the distance of the centre of mass of a uniform solid right circular cone, of...

Find the position of the centre of mass of a lamina in the shape of a triangle formed by y = 1 - x, for 0 <><>

Show that the distance of the centre of mass of a uniform solid right circular cone, of height h, from its plane base is . (Hint: you will need to introduce a mass per unit volume, or density, and divide the cone into a large number of discs.)