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 answer

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.