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A cylindrical pencil sharpened at one edge is the combination of

(A) a cone and a cylinder                                (B) frustum of a cone and a cylinder

(C) a hemisphere and a cylinder                     (D) two cylinders.

Answers (1)

Answer(A) a cone and a cylinder      

Solution

            (A) A cone –A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex.

            A cylinder – A cylinder is a three dimensional solid that holds two parallel bases joined by a curve surface at a field distance.

            (B) Frustum of a cone – It is the portion of a solid that lies between one or two parallel planes cutting it.

            A cylinder – A cylinder is a three dimensional solid that holds two parallel bases joined by a curve surface at a fixed distance.

            (C) Hemisphere – In geometry it is an exact half of a sphere and it is a three dimensional geometric.

            A cylinder – A cylinder is a three dimensional solid that holds two parallel bases joined by a curve surface at a fixed distance.

            (D) Cylinder – A cylinder is a three dimensional solid that holds two parallel bases joined by a curve surface at a fixed distance.

(Combination of two cylinders)

            Hence form the above diagrams we conclude that option (A) is correct.

            Therefore, A cylindrical pencil sharped at one edge is the combination of a cone and a cylinder.

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