Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 12 mm square millimeters

Explanation:

Step1: Identify the radius

The diameter is 12 mm, so the radius $r = \frac{12}{2}=6$ mm.

Step2: Use the surface - area formula

The formula for the surface area of a sphere is $A = 4\pi r^{2}$. Substitute $r = 6$ into the formula: $A=4\pi\times6^{2}$.

Step3: Calculate the value

$A = 4\pi\times36=144\pi$. Using $\pi\approx3.14159$, we have $A\approx144\times3.14159 = 452.389$.

Step4: Round the answer

Rounding 452.389 to the nearest hundredth gives $A\approx452.39$ square millimeters.

Answer:

452.39