Maths-
General
Easy

Question

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

  1. 4 over 3πr3
  2. πrh
  3. 1/3 πr2
  4. 2 over 3 πr3

The correct answer is: 1/3 πr2h


    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 cm3, m3, in3, 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 = (1 third)πrh cubic units
    Therefore, option c) 1 third πrh is correct.
    If we take option a) 4 over 3πr3 = Volume of a sphere
    If we take option b) πr2h = Volume of cylinder
    If we take option d) 2 over 3 πr3 = Volume of hemisphere

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