Question

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

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 \(r = 1\) inch. Substitute \(r = 1\) into \(A = 4\pi r^{2}\), we get \(A=4\pi(1)^{2}\).

Step3: Calculate the value

Since \((1)^{2}=1\), then \(A = 4\pi\). Using \(\pi\approx3.14159\), \(A\approx4\times3.14159 = 12.56636\).

Step4: Round to the nearest hundredth

Rounding \(12.56636\) to the nearest hundredth (two - decimal places), we look at the third decimal digit. The third decimal digit is \(6\), so we round up the second decimal digit. So \(12.56636\approx12.57\).

Answer:

\(12.57\)