# Volume of a Cone Equation

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A cone is a solid geometric figure consisting of a circular base and a vertex at its top. The circular base is connected to the vertex by forming a curved surface around the cone. The circular base consists of the radius and the line joining the center of the circle to the vertex is known as the height of the cone.  The volume of a cone equation is given as one-third the product of the area of the base circle and the height of the cone.

Example 1: What is the volume of the cone whose height is 10m and the radius of its circular base is 6m?

Height of the cone, h = 10m

Volume of the cone, V = 1/3 * π * r2 * h

This gives: Volume of the cone, V = 1/3 * π * 62 * 10 = 120 * π = 377m3

Therefore, thevolume of the given cone is 377m3

Example 2: What is the volume of the cone whose height is 5m and the radius of its circular base is 9m?

Height of the cone, h = 5m

Volume of the cone, V = 1/3 * π * r2 * h

This gives: Volume of the cone, V = 1/3 * π * 92 * 5 = 135 * π = 424.1m3

Therefore, thevolume of the given cone is 424.1m3