Multiple choice

The capacity of a closed cylindrical water tank is $9.24$ kiloliters if the height of the cylinder is $1.5$m, what is its radius?

  1. $1.4 m$
  2. $14 m$
  3. $7 m$
  4. $0.7 m$
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A Correct answer
Explanation

Capacity = 9.24 kiloliters = 9.24 m^3. Volume = pi * r^2 * h. 9.24 = (22/7) * r^2 * 1.5. r^2 = (9.24 * 7) / (22 * 1.5) = 64.68 / 33 = 1.96. r = sqrt(1.96) = 1.4 m.

AI explanation

The volume of the cylindrical tank is given as 9.24 kiloliters, which equals 9.24 cubic meters since 1 kiloliter equals 1 cubic meter. Using the cylinder volume formula V = pi r squared h, we substitute the known values to get 9.24 = (22/7) times r squared times 1.5. This simplifies to 9.24 = (33/7) r squared, so r squared equals 9.24 times 7 divided by 33, which equals 1.96. Taking the square root of 1.96 gives the radius as 1.4 m.

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