Multiple choice

Calculate the volume of a hemisphere with radius $7$ cm. $\left ( \pi = \dfrac{22}{7} \right)$

  1. $718.67$ cm$^3$
  2. $78.67$ cm$^3$
  3. $18.67$ cm$^3$

  4. None of these
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A 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... cm^3.

AI explanation

Using the volume of a hemisphere formula, which is two thirds times pi times radius cubed, we substitute the values to get two thirds times 22 divided by 7 times 343. This simplifies to 44 divided by 21 times 343, resulting in 44 times 49 divided by 3. The final calculation gives approximately 718.67 cubic centimeters.

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