Maths-

General

Easy

Question

# Volume of a right circular cone of radius r and height h is given by __________

- πr
^{3} - πr
^{2 }h - 1/3 πr
^{2}h - πr
^{3}

^{3}^{2 }h^{2}h^{3}## The correct answer is: 1/3 πr^{2}h

### The volume of a cone is defined as the amount of space or capacity a cone occupies. The volume of cone is measured in cubic units like cm^{3}, m^{3}, in^{3}, etc. A cone can be formed by rotating a triangle around any of its vertices. A cone is a solid 3-D shapes figure with a circular base. It has a curved surface area. The distance from the base to the vertex is the perpendicular height. A cone can be classified as a right circular cone or an oblique cone. In the right circular cone, a vertex is vertically above the centre of the base whereas, in an oblique cone, the vertex of the cone is not vertically above the centre of the base.

The formula to calculate the volume of a cone, given the height and its base radius is:

V = ()πr^{2 }h cubic units

Therefore, option c) πr^{2 }h is correct.

If we take option a) πr^{3 }= Volume of a sphere

If we take option b) πr^{2}h = Volume of cylinder

If we take option d) πr^{3} = Volume of hemisphere

^{2 }h cubic units

Therefore, option c) πr

^{2 }h is correct.

If we take option a) πr

^{3 }= Volume of a sphere

If we take option b) πr

^{2}h = Volume of cylinder

If we take option d) πr

^{3}= Volume of hemisphere

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