#### 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.

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.