# Equation for Volume of a Cone

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Volume is an amount of 3-dimesional space occupied by an object. The equation or formula for volume of a cone is v = ( 1/3) x π r2  h.  Here, the base is the circle. We know r is the radius of the base of the cone and h is the height of the cone.

Example 1: Find the volume of the cone with radius 9 cm and height 7 cm.

Solution: From the problem we can write,

Radius = r = 9 cm and height = h = 7 cm.

We know the formula to find the volume of a cone

That is v = ( 1/3) x π r2  h
Now we can plug the values in this formula, then we can write

Volume = v = ( 1/3) x 22/7 x 92 x 7.

From this we can write, v = 22 x 27 = 594 cubic cm.

Example 2: Find the volume of the cone with radius 3 cm and height 14 cm.

Solution: From the problem we can write,

Radius = r = 3 cm and height = h = 14 cm.

We know the formula to find the volume of a cone

That is v = ( 1/3 )x π r2  h

Now we can plug the values in this formula, then we can write

Volume = v = ( 1/3) x 22/7 x 32 x 14.

From this we can write, v = 22 x 3 x 2 =132 cubic cm.