Question

select the correct answer. a sphere has a radius of 6.2 centimeters. what is the approximate lateral surface area? a. 483.1 cm² b. 77.9 cm² c. 241.5 cm² d. 39.0 cm²

Explanation:

Step1: Recall the formula for sphere surface area

The surface - area formula of a sphere is $A = 4\pi r^{2}$, and for a sphere, the lateral surface area is the same as the total surface area.

Step2: Substitute the radius value

Given $r = 6.2$ cm, substitute it into the formula: $A=4\pi(6.2)^{2}$.
First, calculate $(6.2)^{2}=6.2\times6.2 = 38.44$.
Then, $A = 4\pi\times38.44$.
Take $\pi\approx3.14$, so $A\approx4\times3.14\times38.44$.
$4\times3.14 = 12.56$, and $12.56\times38.44=483.1$.

Answer:

A. $483.1$ cm$^{2}$