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.(1 point)
The surface area is ft.2
The surface area is ft.2
Answers
GPT-4o mini
The formula for the surface area \( S \) of a sphere is given by:
\[
S = 4\pi r^2
\]
where \( r \) is the radius of the sphere.
Given that the radius \( r = 3.6 \) ft, we can substitute this value and \( \pi \approx 3.14 \) into the formula.
\[
S = 4 \times 3.14 \times (3.6)^2
\]
First, calculate \( (3.6)^2 \):
\[
(3.6)^2 = 12.96
\]
Now, substitute this value back into the surface area formula:
\[
S = 4 \times 3.14 \times 12.96
\]
Calculating \( 4 \times 3.14 \):
\[
4 \times 3.14 = 12.56
\]
Now multiply this result by \( 12.96 \):
\[
S = 12.56 \times 12.96 \approx 162.7776
\]
Rounding to the nearest hundredth, the surface area is:
\[
S \approx 162.78 \text{ ft}^2
\]
Thus, the surface area of the sphere is approximately **162.78 ft²**.
\[
S = 4\pi r^2
\]
where \( r \) is the radius of the sphere.
Given that the radius \( r = 3.6 \) ft, we can substitute this value and \( \pi \approx 3.14 \) into the formula.
\[
S = 4 \times 3.14 \times (3.6)^2
\]
First, calculate \( (3.6)^2 \):
\[
(3.6)^2 = 12.96
\]
Now, substitute this value back into the surface area formula:
\[
S = 4 \times 3.14 \times 12.96
\]
Calculating \( 4 \times 3.14 \):
\[
4 \times 3.14 = 12.56
\]
Now multiply this result by \( 12.96 \):
\[
S = 12.56 \times 12.96 \approx 162.7776
\]
Rounding to the nearest hundredth, the surface area is:
\[
S \approx 162.78 \text{ ft}^2
\]
Thus, the surface area of the sphere is approximately **162.78 ft²**.