Question

a cone of radius 8 cm and height 12 cm is divided into two parts by a plane through the mid point of its axis parallel to it's base. Find the ratio of the volume of two parts.

Answer 1

Volume of the whole cone = 1/3 x 22/7 x 8² x 12 = 804.57 cm³

Radius, r, of small cone is found by similarity:

8/12 = r/6

r = 4cm

Volume of the small cone cut off = 1/3 x 22/7 x 4² x 6 = 100 4/7

Volume of frustum = 804.57 - 100.57 = 704 cm³

The ratio of the two volumes = 100 4/7 : 704 = 1: 7

Answer 2

1: 1
this is because I think that the volume of 2 half cones with sameheight and radius would have same volume.i think it would be correct