## What is the volume of the cone?

## What is the volume of the cone?

V=1/3hπr²

The formula for the volume of a cone is V=1/3hπr².

### What is the centroid of a cone?

The centroid of a cone or pyramid is located on the line segment that connects the apex to the centroid of the base. For a solid cone or pyramid, the centroid is 1/4 the distance from the base to the apex.

**What is the relationship between the volume of a cone?**

Volume of a Cone vs Cylinder

The volume of a cylinder is: | π × r2 × h |
---|---|

The volume of a cone is: | 1 3 π × r2 × h |

**What is a formula of cone?**

The formula for the volume of a cone is, V=13πr2h.

## Why is volume of cone?

The formula for the volume of a cone is ⅓ 𝜋r2h cubic units, where r is the radius of the circular base and h is the height of the cone.

### What is centroid formula?

Formula for Centroid C = [(x1 + x2 + x3)/ 3, (y1 + y2 + y3)/ 3] Where, C denotes centroid of the triangle. x1, x2, x3 are the x-coordinates of the vertices of a triangle. y1, y2, y3 are the y-coordinates of the vertices of a triangle.

**How do you find the center of a cone?**

The center of mass of a cone is located along a line. This line is perpendicular to the base and reaches the apex. The center of mass is a distance 3/4 of the height of the cone with respect to the apex. This means the center of mass is 1/4 of the height from the base.

**How do you describe the relationship of the volume of a cone and the volume of a cylinder?**

So, we can take a logical conclusion: “the volume of a cone means the third part of the volume of a cylinder having the same base and the same height”. We can also say that “the volume of a cylinder is the triple of the volume of a cone having the same base and the same height”.

## How is the volume of the cone related to the volume of the cylinder?

Thus, the volume of a cone is equal to one-third of the volume of a cylinder having the same base radius and height.