Multiple choice

Calculate the volume of the hemisphere with radius $\dfrac {1}{3}$ m.

  1. $\displaystyle 0.1325{ m }^{ 3 }$
  2. $\displaystyle 0.2325{ cm }^{ 3 }$
  3. $\displaystyle 0.077{ m }^{ 3 }$
  4. $\displaystyle 0.325{ mm }^{ 3 }$
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C Correct answer
Explanation

Volume of hemisphere = (2/3) * pi * r^3. With r = 1/3, Volume = (2/3) * 3.14159 * (1/27) = 6.283 / 81 = 0.0775 m^3.

AI explanation

Using the volume of a hemisphere formula V = (2/3) pi r^3, we substitute the radius r = 1/3 m into the equation. The calculation gives V = (2/3) * (22/7) * (1/3)^3, which equals 44 / 567 cubic meters. This value approximates to 0.077 cubic meters.

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