A Cone is a three-dimensional geometric shape that tapers smoothly from a flat, usually circular base to a point called the apex or vertex. More precisely, it is the solid figure bounded by a plane base and the surface (called the lateral surface) formed by the locus of all straight line segments joining the apex to the perimeter of the base.
In common usage in elementary geometry, cones are assumed to be right circular, where right means that the axis passes through the centre of the base (suitably defined) at right angles to its plane, and circular means that the base is a circle.
Source - Wikipedia
Formula for finding volume of right circular cone:
The diagrammatic representation of right circular cone.
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Formula for finding Volume of a right circular cone:
Volume of a right circular cone = 1/3 `pi`r2 h
where, r ------> radius of right circular cone
h ------> height of right circular cone
Examples for finding volume of a right circular cone:
The Examples for finding volume of a right circular cone are as follows:
Example 1: Find the volume of a right circular cone given the radius is 6 cm and the height is 8 cm.
Solution:
Volume of right circular cone = 1/3 `pi`r2 h
= 1/3 `pi` (62) 8
= 1/3 (3.14) (36)(8)
= 301.44 cm3
Example 2: Find the volume of a right circular cone given the radius is 9 cm and the height is 11 cm.
Solution:
Volume of right circular cone = 1/3 `pi` r2 h
= 1/3 `pi` (92) 11
= 1/3 (3.14) (81)(11)
= 932.58 cm3
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Practice problems for finding volume of a right circular cone:
1) Find the volume of a right circular cone given the radius is 4 cm and the height is 6 cm.
Solution: 100.48 cm3
2) Find the volume of a right circular cone given the radius is 13 cm and the height is 16 cm.
Solution: 2830.19 cm3
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