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16. Right Circular Cone
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Q13 of 24 Page 227

If the length of the radius of a cone is unit and slant height of it is 2l unit, then the total surface area is

Radius = r/2 unit


Slant height = 2l unit


∴ Total surface area,



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13

Keeping the radius of a right circular cone same, if the height of it is increased twice, the volume of it will be

13

If each of radius of a cone is increased by twice of its length, then the volume of it will be

13

Let us write whether the following statements are true or false:

(i) If the length of the base radius of a right circular cone is decreased by half and its height is increased by twice of it then the volume remains the same.


(ii) The height, radius and slant height of a right circular cone are always the three sides of a right-angles triangles.

13

Let us fill in the blanks:

(i) AC is the hypotenuse of a right-angle triangle ABC, the radius of the right circular cone formed by revolving the triangle once around the side AB as the axis is___


(ii) If the volume of a right circular cone is V cubic unit and the base area is A sq. unit, then its height is____


(iii) The lengths of the base radii and the heights of a right circular cylinder and a right circular cone are equal. The ratio of their volume is_____.

Questions · 24
16. Right Circular Cone
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