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Difficulty: 2/102023 NMTC 2023 (QII-26)

Surface Area of sphere with radius 3cm is ________.

Guide / Hint

Hint 1: Recall the surface area formula of a sphere: .

Hint 2: Substitute to find the exact area in terms of : .

Hint 3: Multiply 36 by (pprox 3.1416) to get the rounded integer value.

Solution

Step 1 (Surface Area Formula): The surface area of a sphere with radius is given by the formula:

Step 2 (Substitute the Value): We are given the radius cm. Substituting this into the formula:

Step 3 (Evaluate Numerically): Using :

Step 4 (Conclusion): The surface area is approximately 113 sq. cm (or 36pi).

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    2023 NMTC 2023 QII-26 - Olympiad Math Olympiad Question | Leminno