# Volume Formula For a Cone

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A cone is a 3-dimensional solid geometric figure which has a circular base at the bottom. This base of the cone forms the curved surface of the cone till its topmost point known as the ‘vertex’. We can calculate the volume and the surface area of the cone using their respective formulas. Volume of a cone is the amount of space inside the cone and it depends on the factors such as the radius of the circular base and the height of the cone.

Example 1: Find the volume of the cone whose height is 9m and the radius of its circular base is 5m.

Given: radius, r = 5m

Height of the cone, h = 9m

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

This gives: Volume of the cone, V = 1/3 * π * 52 * 9 = 75 * π = 235.6m3

Therefore, thevolume of the given cone is 235.6m3

Example 2: Find the volume of the cone whose height is 12m and the radius of its circular base is 6m.

Given: radius, r = 6m

Height of the cone, h = 12m

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

This gives: Volume of the cone, V = 1/3 * π * 62 * 12 = 144 * π = 452.4m3

Therefore, the volume of the given cone is 452.4m3