A conical tank in upright position (vertex uppermost) stored water of depth 2/3 that of the depth of the tank. Calculate the ratio of the volume of water to that of the tank.
A wooden ball 2 ft. in diameter weighs 200 lb. Find the diameter of a ball of the same material which weighs 50 lb.
Two surfaces or solids are similar if any two corresponding sides or planes are proportional.
A regular pyramid is one whose base is a regular polygon whose center coincides with the foot of the perpendicular dropped from the vertex to the base.
A pyramid is a polyhedron with a polygon base of any shape, and all other faces are triangles which have common vertex.