Multiple choice

Volume of the hemisphere is 19404 cubic cm. The radius of the hemisphere is

  1. 10.5 cm

  2. 21 cm

  3. 42 cm

  4. 17.5 cm

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of hemisphere = (2/3) * pi * r^3 = 19404. (2/3) * (22/7) * r^3 = 19404. r^3 = 19404 * 3 * 7 / (2 * 22) = 9261. r = cube root of 9261 = 21 cm.

AI explanation

Using the formula for the volume of a hemisphere, V = 2/3 * pi * r^3, we set 19404 = 2/3 * 22/7 * r^3 to find the radius. Simplifying this gives r^3 = 9261, and the cube root of 9261 is 21. The radius of the hemisphere is 21 cm.

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