Multiple choice

A solid metal sphere is cut through the center into two equal parts Find the total surface area of each part it the radius of the sphere is 3.5 cm

  1. $\displaystyle 115.5cm^{2}$
  2. $\displaystyle 151.5cm^{2}$
  3. $\displaystyle 155cm^{2}$
  4. $\displaystyle 151cm^{2}$
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A Correct answer
Explanation

A sphere cut in half creates two hemispheres. Each hemisphere has a curved surface area (2 * pi * r^2) and a flat circular base (pi * r^2). Total surface area = 3 * pi * r^2. r = 3.5. Area = 3 * (22/7) * 3.5 * 3.5 = 3 * 22 * 0.5 * 3.5 = 115.5.

AI explanation

When a sphere is cut into two equal hemispheres, the total surface area of each part is found using the formula 3 * pi * r^2. Plugging in the given radius of 3.5 cm, the calculation is 3 * (22/7) * 3.5 * 3.5. Multiplying these values gives a total surface area of 115.5 square centimeters for each part.

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