how to find volume of a cone

To find the volume of a cone, you use the formula:

V=13πr2hV=\frac{1}{3}\pi r^2hV=31​πr2h

where:

• rrr is the radius of the circular base of the cone,
• hhh is the perpendicular height of the cone,
• π\pi π is approximately 3.14159.

Steps to calculate the volume:

1. Measure the radius rrr of the cone's base.
2. Measure the height hhh of the cone (the perpendicular distance from the base to the tip).
3. Square the radius: r2r^2r2.
4. Multiply the squared radius by π\pi π.
5. Multiply the result by the height hhh.
6. Multiply the entire product by 13\frac{1}{3}31​.

This formula essentially means the volume of a cone is one-third the volume of a cylinder with the same base radius and height.

Example:

If a cone has a radius of 5 cm and a height of 12 cm, the volume is:

V=13×π×52×12=13×π×25×12=314.16 cm3V=\frac{1}{3}\times \pi \times 5^2\times 12=\frac{1}{3}\times \pi \times 25\times 12=314.16\text{ cm}^3V=31​×π×52×12=31​×π×25×12=314.16 cm3

(rounded to two decimal places)