Multiple choice

The volume of a sphere is $\displaystyle 1150.35{ in }^{ 3 }$. Find its radius. (Round off your answer to the nearest whole number).

  1. $2$ in
  2. $5$ in
  3. $8$ in
  4. $7$ in
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume = 4/3 * pi * r^3 = 1150.35. r^3 = 1150.35 * 3 / (4 * 3.14) = 3451.05 / 12.56 = 274.76. The cube root of 274.76 is approximately 6.5, which rounds to 7.

AI explanation

The formula for the volume of a sphere is V = (4/3) * pi * r^3. Rearranging the formula to solve for the radius gives r^3 = (3V) / (4 * pi). Substituting the volume of 1150.35 cubic inches and pi as 3.14 gives r^3 = 3451.05 / 12.56, which equals 274.765. Taking the cube root gives r = 6.503 inches. The true rounded radius is 7 in.

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