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The diameter D of a sphere is 16.4mm. Calculate the sphere's surface area A.Use the value 3.14 for π, and round your answer to the nearest tenth.

Question

The diameter D of a sphere is 16.4mm. Calculate the sphere's surface area A.Use the value 3.14 for π, and round your answer to the nearest tenth.

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Solution

To calculate the surface area of a sphere, we use the formula A = 4πr², where r is the radius of the sphere.

Step 1: Find the radius. The radius is half of the diameter, so r = D/2 = 16.4mm/2 = 8.2mm.

Step 2: Substitute the radius into the formula. A = 4π(8.2mm)².

Step 3: Calculate the area. A = 4 * 3.14 * (8.2mm)² = 4 * 3.14 * 67.24mm² = 843.3mm².

So, the surface area of the sphere is approximately 843.3mm², rounded to the nearest tenth.

This problem has been solved

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