what is the surface area of this sphere?\nround your answer to the nearest hundredth.\n6 mm\nsquare…

Explanation:

Step1: Recall surface area formula

The formula for the surface area of a sphere is $SA = 4\pi r^2$, where $r$ is the radius.

Step2: Substitute radius $r=6$ mm

$SA = 4\pi (6)^2$

Step3: Calculate the squared radius

$6^2 = 36$, so $SA = 4\pi \times 36$

Step4: Multiply constants

$4 \times 36 = 144$, so $SA = 144\pi$

Step5: Compute numerical value

$144\pi \approx 144 \times 3.14159265 = 452.3893424$

Step6: Round to nearest hundredth

Round $452.3893424$ to two decimal places.

Answer:

452.39 square millimeters