Question

find the surface area of this sphere. use 3.14 for π. surface area of a sphere sa = 4πr² sa = ? m² round your answer to the nearest tenth.

Explanation:

Step1: Substitute the radius into the formula

Given \( r = 10\) m and \( \pi=3.14\), the formula for the surface area of a sphere is \( SA = 4\pi r^{2}\). Substitute \( r = 10\) into the formula: \( SA=4\times3.14\times10^{2}\).

Step2: Calculate \( 10^{2}\)

\( 10^{2}=10\times10 = 100\). So the formula becomes \( SA = 4\times3.14\times100\).

Step3: Calculate \( 4\times3.14\)

\( 4\times3.14 = 12.56\). Now the formula is \( SA=12.56\times100\).

Step4: Calculate the final result

\( 12.56\times100=1256.0\)

Answer:

\(1256.0\)