Question

The approximate surface area of a sphere can be found by evaluating the expression 4. 22/7. r² for a given radius, r. What is the approximate surface area, in square centimeters, of a sphere with a radius of 7 centimeters?

Answer 1

Given,

The radius of the sphere is

$r=7\text{ cm}$

The surface area of the sphere is

$SA\text{ = 4}\times\frac{22}{7}\times r^2$

Solution,

Calculate the surface area of the sphere is

$\begin{gathered} SA\text{ = 4}\times\frac{22}{7}\times\lparen7\text{ cm\rparen}^2 \\ SA\text{ = 4}\times22\times7 \\ SA\text{ = 616 cm}^2 \end{gathered}$

Thus, the surface area of the sphere is 616 sq. cm.

Therefore, the given option (c) is correct.