The diameter D of a sphere is 13.4cm. 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 13.4cm. Calculate the sphere's surface area A.Use the value 3.14 for π, and round your answer to the nearest tenth.
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 = 13.4cm / 2 = 6.7cm.
Step 2: Substitute the radius into the formula. A = 4π(6.7cm)².
Step 3: Calculate the area. A = 4 * 3.14 * (6.7cm)² = 4 * 3.14 * 44.89cm² = 564.2cm².
So, the surface area of the sphere is approximately 564.2 square centimeters.
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