Question

what is the surface area of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 5 m square meters 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 of the sphere

From the diagram, the radius \( r = 5 \) meters.

Step3: Substitute the values into the formula

Substitute \( \pi \approx 3.14 \) and \( r = 5 \) into the formula:
\( S = 4\times3.14\times5^{2} \)
First, calculate \( 5^{2}=25 \). Then, \( 4\times3.14 = 12.56 \). Then, \( 12.56\times25=314.00 \) (since \( 12.56\times25=(12 + 0.56)\times25 = 12\times25+0.56\times25=300 + 14 = 314 \)).

Answer:

\( 314.00 \)