Surface Area of Spheres Practice

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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

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 plug in the values:

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

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

\[ (3.6)^2 = 12.96 \]

Next, multiply by \( \pi \) and then by 4:

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

Calculating \( 4 \times 3.14 \):

\[ 4 \times 3.14 = 12.56 \]

Now multiply \( 12.56 \) by \( 12.96 \):

\[ 12.56 \times 12.96 \approx 162.6336 \]

Finally, round to the nearest hundredth:

\[ \text{Surface Area} \approx 162.63 \text{ ft}^2 \]

Thus, the surface area of the sphere is approximately 162.63 ft².