Multiple choice

Find the volume of a hemisphere whose radius is $7$ cm. (use $\displaystyle \pi =\frac { 22 }{ 7 } $)

  1. $\displaystyle 112.66{ \ cm }^{ 3 }$
  2. $\displaystyle 718.66{\  cm }^{ 3 }$
  3. $\displaystyle 12.66{ \ cm }^{ 3 }$
  4. $\displaystyle 132.66{ \ cm }^{ 3 }$
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B Correct answer
Explanation

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

AI explanation

The formula for the volume of a hemisphere is V = (2/3) * pi * r^3. Substituting the radius of 7 cm gives V = (2/3) * (22/7) * (7)^3. This simplifies to V = (2/3) * 22 * 49, which equals 2156 / 3. The calculated volume is 718.66 cubic centimeters.

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