Question

find the surface area of the sphere shown below.
10 ft
use 3.14 or a calculator button for pi and provide an answer accurate to two decimal places.
label required

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. From the diagram, the radius \( r = 10\) ft.

Step2: Substitute the value of \( r \) and \( \pi \) into the formula

Substitute \( r = 10 \) and \( \pi = 3.14 \) into the formula:
\( S = 4\times3.14\times(10)^{2} \)

Step3: Calculate the value

First, calculate \( 10^{2}=100 \). Then, \( 4\times3.14 = 12.56 \). Then, \( 12.56\times100=1256.00 \).

Answer:

\( 1256.00 \) square feet