Multiple choice

A swimming pool is in the form of a cylinder of radius $20$ m. The volume of water in the cylindrical pool is $\displaystyle 3140{ m }^{ 3 }$. Find its depth.

  1. $2$ m 
  2. $2.5$ m
  3. $2.3$ m
  4. $2.4$ m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of cylinder = pi * r^2 * h. 3140 = 3.14 * (20^2) * h. 3140 = 3.14 * 400 * h. 3140 = 1256 * h. h = 3140 / 1256 = 2.5 m.

AI explanation

The volume of a cylinder is found using the formula V = pi * r^2 * h, where r is the radius and h is the depth. Substituting the given values gives 3140 = 3.14 * 20^2 * depth. Solving for the depth, we get depth = 3140 / (3.14 * 400) = 3140 / 1256 = 2.5 m. The depth of the pool is 2.5 m.

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