A plane parallel to the bottom of a cone cuts the cone, the diameter of the cross section and the bottom is 3cm and 9cm respectively, and the distance between the cross section and the bottom is 4cm Find the area of this cone's axis section

A plane parallel to the bottom of a cone cuts the cone, the diameter of the cross section and the bottom is 3cm and 9cm respectively, and the distance between the cross section and the bottom is 4cm Find the area of this cone's axis section

When we examine the axial section, we can see that the isosceles triangle with the base length of 9 cm is cut into two parts by a line parallel to the base; the length of this line is 3 cm by the two waists of the isosceles triangle, and the distance between the line and the base is 4 cm; we can get that the small isosceles triangle is similar to the original isosceles triangle, and it is similar to the original isosceles triangle