# Volume of a cone formula

what is the volume of a cone? In responding to this question you can deduce the need to know, what is the shape of these bodies, but also the space they occupy and their capacity? To know this, you can start with the definition of your shape.

The cylinder consists of circular fingers and a curved face. The Cone has a circular base and, its face's, are curved, ends at the opposite, and end to the base, is verticle.

To calculate the volume of a cone, first, we should know something basics about the cone. a cone has a perpendicular base and two slant heights, from both the sides. The height is perpendicular to the base and is symbolized by h (height) and the base has an r (radius), the radius is calculated by diameter divided (/) by 2.

for example,
if the diameter of the base is 25, the radius will be calculated as
D/2 = 25/2 = 12.5
12.5 will be the radius of a cone

The volume of a cone formula is equal to the one-third of the cylinder. it means, the volume of a cylinder can occupy three cones in it.

therefore, the formula for cone will be,
volume of a cone = 1/3πr²h.
For example,
if the radius (r) = 2,
height (h) = 2
and (pi) π = 22/7
1/3 * 22/7 * 2*2 * 2 = 8.38

## Surface area of a cone

The total surface area of a cone is the sum of the area of its base and the lateral surface.

The lateral surface area of a cone is the area of the side surface or sides only. Since a cone is closely related to a pyramid, the formulas for its surface areas are related.

Remember, the formulas for the surface area of a pyramid and the total area of the surface of a cone formula. Since the base of a cone is a circle, we substitute 2 π r by P and π R 2 times B where R is the radius of the base of the cylinder.

Therefore, the formula for the lateral surface area of a straight cone is L. S. A. = π Rl, where l is the slant height of a cone.

The surface area of a cone formula.
surface areas = πr² + πrl