Question
Find the surface area of a sphere with radius, requals=99 in.
Answers
GPT-4o mini
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:
\[
A \approx 123,067.27 \text{ square inches}
\]
\[
A = 4\pi r^2
\]
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:
\[
A \approx 123,067.27 \text{ square inches}
\]