Multiple choice

Find the volume of a hemispherical shell with outer radius as 4 m and inner radius as 2 m. (Use pi = 3.14)

  1. 102.4 m3

  2. 117.2 m3

  3. 135.26 m3

  4. 231.24 m3
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of hemispherical shell = (2/3) * pi * (R^3 - r^3). R = 4, r = 2. Volume = (2/3) * 3.14 * (64 - 8) = (2/3) * 3.14 * 56 = 117.226... m^3.

AI explanation

The volume of a hemispherical shell is given by the formula (2/3) * pi * (R^3 - r^3), where R is the outer radius and r is the inner radius. Substituting the given values gives (2/3) * 3.14 * (4^3 - 2^3) = (2/3) * 3.14 * (64 - 8). This simplifies to (2/3) * 3.14 * 56 = 117.226 m^3, which rounds to 117.2 m^3.

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