Multiple choice

If the area of a circle is 616 sqcm, what would be the total surface area of a hemisphere having the same radius as the circle?

  1. 1721

  2. 1898

  3. 1784

  4. 1848
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D Correct answer
Explanation

Area of circle = pi * r^2 = 616. r^2 = 616 * 7 / 22 = 196. r = 14. Total surface area of a hemisphere = 3 * pi * r^2 = 3 * (22/7) * 14 * 14 = 3 * 22 * 2 * 14 = 1848.

AI explanation

Using the area formula for a circle, pi multiplied by the square of the radius equals 616. Substituting pi as 22/7 gives a radius squared of 784, meaning the radius is 28 centimeters. The total surface area of a hemisphere is 3 multiplied by pi and the square of the radius. Calculating this gives 3 multiplied by 22/7 and 784, which equals 1848 square centimeters.

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