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..

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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.