Multiple choice

Find the volume of a hemisphere of radius $7\;dm$.

  1. $708.67\;dm^3$
  2. $818.67\;dm^3$
  3. $717.67\;dm^3$
  4. $718.67\;dm^3$
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D Correct answer
Explanation

Volume of hemisphere = (2/3) * pi * r^3. (2/3) * (22/7) * 7^3 = (2/3) * 22 * 49 = 2156 / 3 = 718.666...

AI explanation

Using the formula for the volume of a hemisphere, V = (2/3) * pi * r^3, we substitute the radius r = 7. This gives (2/3) * (22/7) * 7^3, which simplifies to (2/3) * 22 * 49. Calculating this gives (2/3) * 1078, which equals 718.67 cubic dm.

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