from a handpicked tutor in LIVE 1-to-1 classes

# How to find the volume of a cone in terms of π?

A cone is a three-dimensional solid object which is having a circle at one end and a pointed end at the other. The π is an irrational number usually approximated to 3.14 and its symbol is π. Volume is the measure of the capacity that an object holds.

## Answer: (1/3) r^{2 }h π cubic units.

We will use few steps to find the volume of a cone in terms of π for getting the answer.

**Explanation:**

The following steps are mentioned below by which we can find the volume of a cone in terms of π.

1: Calculate the height and the radius of the base of the cone.

2: Then find the square of the radius.

3: Find out the product of the π to the square of its radius of the base. We will get the area of the circular base of the cone.

4: Multiply the area of the circular base with the height of the cone.

5: Multiply the result thus obtained with 1/3.

6: Represent the answer in cubic units.

Note: If we correlate the volume of the cone and the volume of the cylinder, the volume of the cone is one-third of the volume of the cylinder of the same radius and height.

### Therefore, the volume of a cone, with radius r and height h in terms of pi is ((1/3)r^{2}h)π cubic units.

visual curriculum