Find the surface area of a sphere with​ radius, requals=99 in.

1 answer

The surface area \( A \) of a sphere can be calculated using the formula:

\[ A = 4\pi r^2 \]

where \( r \) is the radius of the sphere.

Given that the radius \( r = 99 \) inches, we can substitute this value into the formula:

\[ A = 4\pi (99)^2 \]

First, calculate \( (99)^2 \):

\[ (99)^2 = 9801 \]

Now, substitute this back into the formula:

\[ A = 4\pi (9801) \]

Now, multiply:

\[ A = 39204\pi \]

To get a numerical approximation, use \( \pi \approx 3.14159 \):

\[ A \approx 39204 \times 3.14159 \approx 123,067.27 \text{ square inches} \]

Thus, the surface area of the sphere is:

\[ A \approx 123,067.27 \text{ square inches} \]