A cylinder of 50 mm diameter and axis length 65 mm rests on its base with the axis perpendicular to HP. It is cut by a cutting plane perpendicular to UP, inclined at $45^{\circ}$ to HP and passing through a point on axis 25 mm from the top. Draw the development of the lateral surface of the truncated portion of the solid. ( $2 \times 17=34$ Marks)

Explanation

The cutting plane is drawn perpendicular to UP and inclined at 45° to HP. The intersection of this cutting plane with the front view of the cylinder gives the front view of the truncated portion. The development of the lateral surface of the truncated portion is obtained by unfolding the lateral surface of the cylinder and the truncated portion.


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