Question

what is the surface area of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. image of sphere with radius 17 ft square feet submit

Explanation:

Step1: Recall the formula for the surface area of a sphere

The formula for the surface area \( S \) of a sphere is \( S = 4\pi r^2 \), where \( r \) is the radius of the sphere.

Step2: Identify the radius

From the diagram, the radius \( r = 17 \) feet.

Step3: Substitute the values into the formula

Substitute \( r = 17 \) and \( \pi \approx 3.14 \) into the formula:
\( S = 4\times3.14\times17^2 \)
First, calculate \( 17^2 = 289 \).
Then, \( 4\times3.14 = 12.56 \).
Now, multiply \( 12.56\times289 \).
\( 12.56\times289 = 12.56\times(200 + 80 + 9) = 12.56\times200 + 12.56\times80 + 12.56\times9 = 2512 + 1004.8 + 113.04 = 3629.84 \)

Answer:

\( 3629.84 \)