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

Answer 1

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 into the formula:

\[
S = 4 \times 3.14 \times (3.6)^2
\]

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

\[
(3.6)^2 = 12.96
\]

Now, substitute this value back into the surface area formula:

\[
S = 4 \times 3.14 \times 12.96
\]

Next, calculate \( 4 \times 3.14 \):

\[
4 \times 3.14 = 12.56
\]

Now, multiply this by \( 12.96 \):

\[
S = 12.56 \times 12.96 \approx 162.7376
\]

Rounding to the nearest hundredth:

\[
S \approx 162.74 \, \text{ft}^2
\]

Thus, the surface area is approximately:

\[
\text{The surface area is } 162.74 \text{ ft}^2.
\]