Question

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

Explanation:

Step1: Recall the formula for the surface area of a sphere

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 given radius into the formula

Given \(r = 1\) ft. Substitute \(r = 1\) into the formula: \(A=4\pi(1)^{2}\).
Since \((1)^{2}=1\), the formula simplifies to \(A = 4\pi\).

Step3: Calculate the numerical value

Using \(\pi\approx3.14159\), then \(A = 4\times3.14159\).
\(A=12.56636\).

Answer:

\(12.57\) square - feet