Question
find the surface area of a sphere with a radius of 3.6 ft. Use 3.14 for pi. Round your answer to the nearest hundredth, if necessary.
the surface area is ___ ft.^2
the surface area is ___ ft.^2
Answers
GPT-4o mini
The formula for the surface area \( A \) of a sphere is given by:
\[
A = 4 \pi r^2
\]
where \( r \) is the radius of the sphere. Given that the radius \( r \) is 3.6 ft, and using \( \pi \approx 3.14 \), we can calculate the surface area as follows:
1. Plug in the values into the formula:
\[
A = 4 \times 3.14 \times (3.6)^2
\]
2. Calculate \( (3.6)^2 \):
\[
(3.6)^2 = 12.96
\]
3. Now substitute back into the equation:
\[
A = 4 \times 3.14 \times 12.96
\]
4. Calculate \( 4 \times 3.14 \):
\[
4 \times 3.14 = 12.56
\]
5. Finally, calculate \( 12.56 \times 12.96 \):
\[
A = 12.56 \times 12.96 \approx 162.6624
\]
Rounding to the nearest hundredth, the surface area is:
\[
\boxed{162.66} \text{ ft}^2
\]
\[
A = 4 \pi r^2
\]
where \( r \) is the radius of the sphere. Given that the radius \( r \) is 3.6 ft, and using \( \pi \approx 3.14 \), we can calculate the surface area as follows:
1. Plug in the values into the formula:
\[
A = 4 \times 3.14 \times (3.6)^2
\]
2. Calculate \( (3.6)^2 \):
\[
(3.6)^2 = 12.96
\]
3. Now substitute back into the equation:
\[
A = 4 \times 3.14 \times 12.96
\]
4. Calculate \( 4 \times 3.14 \):
\[
4 \times 3.14 = 12.56
\]
5. Finally, calculate \( 12.56 \times 12.96 \):
\[
A = 12.56 \times 12.96 \approx 162.6624
\]
Rounding to the nearest hundredth, the surface area is:
\[
\boxed{162.66} \text{ ft}^2
\]