The diameter D of a sphere is 14.4cm. Calculate the sphere's surface area A.
Question
The diameter D of a sphere is 14.4cm. Calculate the sphere's surface area A.
Solution
Sure, here are the steps to calculate the surface area of a sphere:
Step 1: Understand the formula for the surface area of a sphere. The formula is A = 4πr², where r is the radius of the sphere.
Step 2: Given that the diameter D of the sphere is 14.4 cm, we can find the radius by dividing the diameter by 2. So, r = D/2 = 14.4 cm / 2 = 7.2 cm.
Step 3: Substitute the radius r into the formula. So, A = 4π(7.2 cm)².
Step 4: Calculate the surface area A. A = 4π(7.2 cm)² = 4π(51.84 cm²) = 206.61 cm².
So, the surface area of the sphere is approximately 206.61 cm².
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