Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 4 mm square millimeters

Explanation:

Step1: Recall surface - area formula

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

Step2: Substitute the radius value

Given $r = 4$ mm, substitute it into the formula: $A=4\pi(4)^{2}$.

Step3: Calculate the result

First, calculate $(4)^{2}=16$. Then $4\pi\times16 = 64\pi$. Using $\pi\approx3.14159$, we have $A\approx64\times3.14159 = 201.06176$.

Step4: Round the answer

Rounding $201.06176$ to the nearest hundredth gives $201.06$.

Answer:

$201.06$