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

1 answer

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 \( r = 3.6 \) ft and using \( \pi \approx 3.14 \), we can calculate the surface area as follows:

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

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

\[ (3.6)^2 = 12.96 \]

Now substitute \( 12.96 \) back into the formula:

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

Now calculate \( 4 \times 3.14 \):

\[ 4 \times 3.14 = 12.56 \]

Now, multiply this result by \( 12.96 \):

\[ A = 12.56 \times 12.96 \approx 162.5216 \]

Rounding \( 162.5216 \) to the nearest hundredth gives us:

\[ A \approx 162.52 \text{ ft}^2 \]

Thus, the surface area of the sphere is approximately 162.52 ft².