Multiple choice

The volume of sphere is $\displaystyle 904.77{ cm }^{ 3 }$. Find its radius. (Round off your answer to the nearest whole number).

  1. $2$ cm
  2. $5$ cm
  3. $6$ cm
  4. $7 $ cm
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C Correct answer
Explanation

Volume = (4/3) * pi * r^3 = 904.77. r^3 = 904.77 * 3 / (4 * 3.14159) = 216. r = cube root of 216 = 6.

AI explanation

Using the formula for the volume of a sphere, V = (4/3) * pi * r^3, we can isolate the radius cubed as r^3 = (3V) / (4 * pi). Substituting the volume of 904.77 cm^3 and pi as 3.14 gives r^3 = 2714.31 / 12.56, which equals 216.16. Taking the cube root gives a radius of 6.0004 cm. The radius rounded to the nearest whole number is 6 cm.

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