Please help me solve. I have two different tutors give me the wrong answer to figure the problem.I have answered with 201.06 and 201 and neither are correct.

Question

asked Sep 2, 2023 76.3k views

1 Answer

Soully · Answer 1 · 2023-09-09T08:42:11+0000

You can identify that the identify that the diameter of the sphere is:

$d=8\operatorname{cm}$

Since the radius is half the diameter:

$\begin{gathered} r=\frac{8\operatorname{cm}}{2} \\ \\ r=4\operatorname{cm} \end{gathered}$

Knowing this, you can use the following formula for calculate the surface area of the sphere:

$SA=4\pi r^2$

Where "r" is the radius.

Substituting the radius into the formula, you get the following result:

$\begin{gathered} SA=4\pi(4\operatorname{cm})^2 \\ SA=64\pi cm^2 \end{gathered}$

The answer is:

$64\pi cm^2$