Intersection of Cylinder and Cone
A cone with a base diameter of 64 mm and an axis length of 70 mm is kept on its base on the HP. A cylinder of diameter 30 mm and length 90 mm penetrates the cone horizontally. The axis of the cylinder is 20 mm above the base of the cone and 5 mm away fromthe axis of the latter. Draw the three views of the solids showing curve of intersection.

A vertical pentagonal prism 30 mm edge of base and height 100 mm has one of its rectangular faces parallel to VP and nearer to it. It is penetrated by a rectangular prism of side 40mm x 20 mm and 100 mm high, with its front largest lower front rectangular face inclined at 60° to HP.  The axis of the rectangular prism is inclined at 30° to HP and parallel to VP, 5 mm infront of the axis of the pentagonal prism and appears to bisect it in the front view.  Draw the interpenetration line.