Problem

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) Saved

Solution

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.

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Source: https://solvelyapp.com/problems/20418/

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