Question

what is the surface area of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. image of a sphere with a dashed diameter line labeled 24 mm square millimeters submit

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is given as 24 mm. The radius \( r \) is half of the diameter, so \( r=\frac{24}{2}=12 \) mm.

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 \( r = 12 \) and \( \pi\approx3.14 \) into the formula:
\( S=4\times3.14\times12^{2} \)
First, calculate \( 12^{2}=144 \). Then, \( 4\times3.14 = 12.56 \). Now, multiply \( 12.56\times144 \):
\( 12.56\times144 = 1808.64 \)

Answer:

1808.64