Question

what is the surface area of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. image of a purple sphere with a dashed diameter line labeled 20 mm square millimeters submit

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is 20 mm, so the radius \( r = \frac{20}{2}= 10 \) mm.

Step2: Use the surface area formula for a sphere

The formula for the surface area of a sphere is \( SA = 4\pi r^{2} \). Substitute \( r = 10 \) and \( \pi\approx3.14 \) into the formula:
\( SA = 4\times3.14\times10^{2} \)

Step3: Calculate the value

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

Answer:

1256.00