Question

what is the surface area of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. sphere image with 14 m diameter square meters submit

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is given as 14 m. The radius \( r \) is half of the diameter, so \( r=\frac{14}{2}=7 \) m.

Step2: Use the surface area formula for a sphere

The formula for the surface area \( S \) of a sphere is \( S = 4\pi r^{2} \). Substitute \( r = 7 \) and \( \pi\approx3.14 \) into the formula:
\( S=4\times3.14\times7^{2} \)
First, calculate \( 7^{2}=49 \). Then, \( 4\times3.14 = 12.56 \). Next, multiply \( 12.56\times49 \):
\( 12.56\times49 = 615.44 \)

Answer:

615.44