Problem 7.8 Section of Solids – A cone of base diameter 60 mm and axis height 90 mm is resting on its base on V.P. One cutting plane parallel with V.P. and perpendicular to H.P. is cutting the cone such that true shape of the section of the cone is a circle of diameter 35 mm. Draw sectional front view and top view of the cone.
Step-1 Draw a horizontal x-y line of some suitable length.
Step-2 Draw a circle of diameter 60 mm above the x-y line at some suitable distance from it as shown into the figure. Give notations on it.
Step-3 From the center of the circle, draw a vertical downward center line of length 90 mm from the x-y line as shown into the figure. And from the notations of the circle i.e., a’, b’; draw vertical downward projectors up to x-y line, and then converge all these projectors at the end of the center line i.e. apex of the cone (point b) as shown into the figure. It is a triangular shape. And Give the notations on it.
Step-4 Draw a circle of diameter 35 mm from the center of the circle in the front view, and draw hatching lines within the circle of diameter 35 mm; because it is true shape of the section as per the data given in the problem. And form the end points of the circle i.e., p’, q’; draw vertical downward projectors such that they will intersect the respective projectors in the top view. And give the notation on it. i.e., p, q.
Step-5 Then draw a cutting plane line passing from the points p & q such that it is parallel to x-y line. As shown in the figure. Give notation on it. It is top view of the object.
Step-6 Give the dimensions by any one method of dimensions and give the notations as shown into the figure.