Multiple choice

What is the volume of the hemisphere with radius $21$ cm?

  1. $16404$ $cm^3$
  2. $17404$ $cm^3$
  3. $18404$ $cm^3$
  4. $19404$ $cm^3$
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D Correct answer
Explanation

The volume of a hemisphere is given by (2/3) * pi * r^3. With r = 21, the volume is (2/3) * (22/7) * 21 * 21 * 21 = 2 * 22 * 3 * 21 * 21 / 3 = 44 * 21 * 21 = 19404 cubic cm.

AI explanation

Use the hemisphere volume formula V = (2/3) pi r^3 with the given radius of 21 cm. Taking pi as 22/7, the calculation is V = (2/3) * (22/7) * (21 * 21 * 21). This simplifies to 44 * 441, which equals 19404 cubic centimeters.

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