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..

Answer 1

To find the surface area of a sphere, you can use the formula:

\[
\text{Surface Area} = 4\pi r^2
\]

where \( r \) is the radius of the sphere. Given that the radius \( r = 3.6 \) ft and using \( \pi \approx 3.14 \), we can substitute these values into the formula.

\[
\text{Surface Area} = 4 \times 3.14 \times (3.6)^2
\]

First, calculate \( (3.6)^2 \):

\[
(3.6)^2 = 12.96
\]

Now substitute this into the surface area formula:

\[
\text{Surface Area} = 4 \times 3.14 \times 12.96
\]

Now multiply \( 4 \) and \( 3.14 \):

\[
4 \times 3.14 = 12.56
\]

Next, multiply \( 12.56 \) by \( 12.96 \):

\[
\text{Surface Area} = 12.56 \times 12.96 \approx 162.7776
\]

Finally, round to the nearest hundredth:

\[
\text{Surface Area} \approx 162.78 \, \text{ft}^2
\]

Thus, the surface area of the sphere is approximately \( \boxed{162.78} \) square feet.