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
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.
Given a radius of \( r = 3.6 \) ft and using \( \pi \approx 3.14 \):
\[
A = 4 \times 3.14 \times (3.6)^2
\]
First, calculate \( (3.6)^2 \):
\[
(3.6)^2 = 12.96
\]
Now, plug that value back into the surface area formula:
\[
A = 4 \times 3.14 \times 12.96
\]
Calculating \( 4 \times 3.14 \):
\[
4 \times 3.14 = 12.56
\]
Now, multiply \( 12.56 \) by \( 12.96 \):
\[
12.56 \times 12.96 \approx 162.3496
\]
Finally, rounding to the nearest hundredth, we get:
\[
A \approx 162.35 \text{ ft}^2
\]
Therefore, the surface area of the sphere is approximately **162.35 ft²**.
\[
A = 4 \pi r^2
\]
where \( r \) is the radius.
Given a radius of \( r = 3.6 \) ft and using \( \pi \approx 3.14 \):
\[
A = 4 \times 3.14 \times (3.6)^2
\]
First, calculate \( (3.6)^2 \):
\[
(3.6)^2 = 12.96
\]
Now, plug that value back into the surface area formula:
\[
A = 4 \times 3.14 \times 12.96
\]
Calculating \( 4 \times 3.14 \):
\[
4 \times 3.14 = 12.56
\]
Now, multiply \( 12.56 \) by \( 12.96 \):
\[
12.56 \times 12.96 \approx 162.3496
\]
Finally, rounding to the nearest hundredth, we get:
\[
A \approx 162.35 \text{ ft}^2
\]
Therefore, the surface area of the sphere is approximately **162.35 ft²**.