Surface Area of Spheres Practice

Question

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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

Answer 1

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 substitute these values into the formula:

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

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

\[ (3.6)^2 = 12.96 \]

Now substitute this value back into the equation:

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

Now calculate \( 4 \times 3.14 \):

\[ 4 \times 3.14 = 12.56 \]

Now multiply this by \( 12.96 \):

\[ A = 12.56 \times 12.96 \approx 162.5536 \]

Finally, rounding to the nearest hundredth gives:

\[ A \approx 162.55 \text{ square feet} \]

So, the surface area of the sphere is approximately 162.55 ft².