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}*(22)/(7)* r^2`

Solution,

Calculate the surface area of the sphere is

`\begin{gathered} SA\text{ = 4}*(22)/(7)*\lparen7\text{ cm\rparen}^2 \\ SA\text{ = 4}*22*7 \\ 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.