Q13. - Algebra 1

Question

Translate the following sentence into a formula:

“Four times $\pi$ times the radius squared is the surface area of a sphere”.

Step-by-Step Solution

Answer

The formula is $S=4\pi r^2$.

Step 1. Given information.

The given sentence is:

The surface area of the sphere is the product of four times $\pi$ and the square of the radius.

Step 2. Mention the algebraic variables.

Consider the Surface Area of the sphere as S and the radius of the sphere be r.

Step 3. Write the formula.

Since the square of the radius is $r^2$.

Therefore, the formula becomes:

$S=4\pi r^2$