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A Cone is Cut by a Plane Parallel to Its Base and the Upper Part is Removed. the Part that is Left is Called - Mathematics

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प्रश्न

A cone is cut by a plane parallel to its base and the upper part is removed. The part that is left  is called

विकल्प

  • a cone

  • a sphere

  • a cylinder

  • frustum of a cone

MCQ

उत्तर

frustum of a cone

A cone is cut by a plane parallel to its base and the upper part is removed. The part that is left is called frustum of a cone.

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अध्याय 19: Volume and Surface Area of Solids - Multiple Choice Questions [पृष्ठ ९१८]

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 8 | पृष्ठ ९१८

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संबंधित प्रश्न

The radii of ends of a frustum are 14 cm and 6 cm respectively and its height is 6 cm. Find its total surface area.


A solid cone of base radius 10 cm is cut into two part through the mid-point of its height, by a plane parallel to its base. Find the ratio in the volumes of two parts of the cone.


If a cone of radius 10 cm is divided into two parts by drawing a plane through the mid-point of its axis, parallel to its base. Compare the volumes of the two parts.


A metalic solid cone is melted to form a solid cylinder of equal radius. If the height of the cylinder is 6 cm, then the height of the cone was


In a right circular cone , the cross-section made by a plane parallel to the base is a 


A spherical cannon ball, 28 cm in diameter, is melted and recast into a right circular conical mould with base diameter of 35 cm. Find the height of the cone.


A container, open at the top and made up of metal sheet, is in the form of a frustum of a cone of height 16 cm with diameters of its lower and upper ends as 16 cm and 40 cm, respectively. Find the cost of metal sheet used to make the container, if it costs ₹10 per 100 cm2


The number of conical bottles of radius 2 cm and height 3.6 cm, required to empty the liquid from a cylindrical bottle of radius 6 cm and height 10 cm is ______.


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


Find the total surface area of frustum, if its radii are 15 cm and 7 cm. Also, the slant height of the frustum is 14 cm.

Radii of the frustum = `square` cm and `square` cm

Slant height of the frustum = `square` cm

Total surface area = `π[(r_1^2 + r_2^2 + (r_1 + r_2)l]`

= `22/7 [square + square + (square + square) square]`

= `22/7 (square)`

= `square` cm2

Hence, the total surface area of the frustum is `square`.


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