Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 8 ft square feet submit

Explanation:

Step1: Identify the radius

The diameter is 8 ft, so the radius $r = \frac{8}{2}=4$ ft.

Step2: Use the surface - area formula for a sphere

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

Step3: Calculate the value

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

Step4: Round the answer

Rounding 201.06176 to the nearest hundredth gives 201.06.

Answer:

201.06