Find the surface area of a sphere, given that its diameter is 32 inches. Approximate pi at 3.14 . Round your answer to the nearest tenth.
in $^{2}$
Question 22 (1 point)
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Rounding to the nearest tenth, the surface area of the sphere is approximately \(\boxed{3215.4}\) square inches.
Step 1 :The diameter of the sphere is given as 32 inches.
Step 2 :Since the radius is half of the diameter, the radius of the sphere is \(\frac{32}{2} = 16\) inches.
Step 3 :The formula for the surface area of a sphere is \(4\pi r^{2}\), where \(r\) is the radius of the sphere.
Step 4 :Substituting the given values into the formula, we get \(4 * 3.14 * 16^{2} = 3215.36\) square inches.
Step 5 :Rounding to the nearest tenth, the surface area of the sphere is approximately \(\boxed{3215.4}\) square inches.