Multiple choice

Find the radius of the sphere with surface area 19103.76 cm2. (Use pi = 3.14)

  1. 36 cm

  2. 39 cm

  3. 42 cm

  4. 44 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Surface area of a sphere = 4 * pi * r^2. Given 19103.76 = 4 * 3.14 * r^2. 19103.76 = 12.56 * r^2. r^2 = 19103.76 / 12.56 = 1521. r = sqrt(1521) = 39.

AI explanation

The surface area of a sphere is calculated using the formula 4 times pi times the square of the radius. By substituting the given area, we get 19103.76 = 4 multiplied by 3.14 multiplied by the square of the radius. Solving for the square of the radius gives 19103.76 divided by 12.56, which equals 1521. Taking the square root of 1521 gives a radius of 39 cm.

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