Multiple choice

Find the volume of a hemisphere of radius $6.3 \ cm$ ($\displaystyle \pi =22/7$)

  1. $523.9 \ \displaystyle cm^{3}$
  2. $520.91 \ \displaystyle cm^{3}$
  3. $512.91 \ \displaystyle cm^{3}$
  4. $510.91 \ \displaystyle cm^{3}$
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A Correct answer
Explanation

The volume of a hemisphere is (2/3) * pi * r^3. Using r = 6.3 and pi = 22/7: (2/3) * (22/7) * (6.3)^3 = (2/3) * (22/7) * 250.047 = 523.9056. Rounding to one decimal place gives 523.9.

AI explanation

The volume of a hemisphere is given by the formula (2 / 3) * pi * r^3. Substituting the radius of 6.3 cm and pi = 22 / 7, the calculation is (2 / 3) * (22 / 7) * (6.3)^3. We first evaluate the cube of 6.3 to get 250.047, and then multiply it by 22 / 7 and 2 / 3 to get approximately 523.9 cm^3.

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