# How to find the total surface area of a sphere?

#### Understand the Problem

The question is asking for the formula or method to calculate the total surface area of a sphere. This involves understanding the geometric properties of a sphere and the mathematical formula used to find its surface area.

$A = 4 \pi r^2$

The formula to find the total surface area of a sphere is $A = 4 \pi r^2$

#### Steps to Solve

1. Identify the radius of the sphere

The radius $r$ is the distance from the center of the sphere to any point on its surface.

2. Use the surface area formula for a sphere

The surface area $A$ of a sphere is given by the formula: $$A = 4 \pi r^2$$

3. Calculate the surface area

Substitute the radius $r$ into the formula to find the surface area.

4. Example calculation

Suppose the radius of the sphere is 5 units. Plugging this into the formula, we get: $$A = 4 \pi (5)^2 = 4 \pi \times 25 = 100 \pi$$ Therefore, the surface area is $100 \pi$ square units.

The formula to find the total surface area of a sphere is $A = 4 \pi r^2$

A common mistake is to confuse the surface area formula with the volume formula of a sphere, which is $V = \frac{4}{3} \pi r^3$. Always check which formula is required.