We have been given a sphere with radius 8.6 ft. We are asked to find the surface area of the given sphere.
We know that surface area of a sphere is equal to [tex]4\pi r^2[/tex].
[tex]A=4\pi r^2[/tex]
Upon substituting [tex]r=8.6\text{ ft}[/tex] in surface area formula, we will get:
[tex]A=4\pi (8.6\text{ ft})^2[/tex]
[tex]A=4\pi \cdot 73.96\text{ ft}^2[/tex]
[tex]A=295.84\pi\text{ ft}^2[/tex]
[tex]A=929.4087706\text{ ft}^2[/tex]
Upon rounding to nearest hundredth, we will get:
[tex]A\approx 929.41\text{ ft}^2[/tex]
Therefore, the surface of the given sphere would be approximately [tex]929.41\text{ ft}^2[/tex].
