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A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called - Mathematics

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Question

A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called ______.

Options

  • a frustum of a cone

  • cone

  • cylinder

  • sphere

MCQ
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Solution

A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called a frustum of a cone.

Explanation:

When a cone is divided into two parts by a plane through any point on its axis parallel to its base, the upper and lower parts obtained are cone and a frustum, respectively.

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Chapter 12: Surface Areas and Volumes - Exercise 12.1 [Page 139]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 12 Surface Areas and Volumes
Exercise 12.1 | Q 7 | Page 139
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