Question

the radius of a volleyball is approximately 11 cm. determine the surface area of a volleyball to the nearest square centimeter. select one: a. 6082 cm² b. 380 cm² c. 5575 cm² d. 1521 cm²

Explanation:

Step1: Recall surface - area formula

The surface - area formula for a sphere is $A = 4\pi r^{2}$, where $r$ is the radius of the sphere.

Step2: Substitute the radius value

Given $r = 11$ cm, substitute it into the formula: $A=4\pi(11)^{2}$.
First, calculate $(11)^{2}=121$. Then $A = 4\pi\times121=484\pi$.

Step3: Calculate the numerical value

Take $\pi\approx3.14159$. Then $A\approx484\times3.14159 = 1520.52956\approx1521$ $cm^{2}$.

Answer:

d. $1521$ $cm^{2}$