Calculating the surface area and volume of a cone is fun and easy! Let’s break it down step by step!

Surface Area of a Cone

The surface area of a cone is made up of two parts: the base and the curved side.

To find the total surface area (SA), you can use this formula:

$$SA = \pi r^2 + \pi r l$$

Here’s what the letters mean:

• $r$ is the radius of the base (the distance from the center to the edge).
• $l$ is the slant height, which is the length from the tip of the cone to the edge of the base.

1. Base Area: The area of the round base is calculated with $\pi r^2$.
2. Curved Surface Area: The area of the cone’s side (the round part) is $\pi r l$.

Volume of a Cone

Now, let’s talk about the volume (V) of a cone. You can find it with this formula:

$$V = \frac{1}{3} \pi r^2 h$$

In this formula:

• $h$ is the height of the cone (the straight line from the base to the top).

Putting it All Together

To find both the total surface area and volume, just put in the values for $r$, $l$, and $h$ into the formulas.

This is a great way to learn about shapes in 3D while getting better at math! Have fun calculating!