QUESTION

# What is the total surface area of a sphere?

Total Surface area of sphere $=4\pi {{r}^{2}}$
Here, the value of $\pi$ is $\dfrac{22}{7}$ and r is the radius of the sphere. IT can be proved using the integration in two directions by taking a small circle in 2-D and hence integrate it from 0 to r. But we are not required to prove it as per the question. So, the total surface area of the sphere is $4\pi {{r}^{2}}$.
Where value of $\pi =\dfrac{22}{7}$ and $r=radius$
Remember that sphere has only one measure that is its radius. Don’t include height factor with the surface area of the sphere and don’t confuse it with the areas of cylinder, cone, cuboid or any other geometrical shape as they include height factor as well. So, remembering the total surface area of the sphere be $4\pi {{r}^{2}}$ for future references.