Answer:
[tex]A\approx 4.19\ yd^2[/tex]
Step-by-step explanation:
The following formula can be used to find the volume of a sphere,
[tex]A=\frac{4}{3}(\pi)r^3[/tex]
Where (r) represents the radius of the sphere or the distance from the center of the sphere to its outer edge. The term ([tex]\pi[/tex]) represents the numerical constant ([tex]3.1415...[/tex]). In this problem, one is given that the radius of the sphere is (1). Substitute this value into the formula and simplify to solve,
[tex]A=\frac{4}{3}(\pi)r^3[/tex]
[tex]A=\frac{4}{3}(\pi)(1)^3[/tex]
[tex]A=\frac{4}{3}(\pi)1[/tex]
[tex]A=\frac{4}{3}(\pi)[/tex]
[tex]A\approx \frac{4}{3}*3.14[/tex]
[tex]A\approx \frac{12.56}{3}[/tex]
[tex]A\approx 4.19\ yd^2[/tex]
