Grades 11-12 Video Solutions 2023-2023_11-12

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Video Summary

In this problem, two identical cylindrical tanks contain equal water amounts. Given each cylinder's base area is \(3\pi\) square meters, calculations reveal the upright tank's height (\(H\)) is 3 meters, while the slanted tank's slant height (\(L\)) is 6 meters. Using geometry, specifically 30-60-90 triangle relationships, \(L\) equals twice \(H\). The tank's base circle has radius \(R = \sqrt{3}\). Each tank's water volume is \(3\pi \cdot H = 9\pi\) cubic meters, making the correct answer \(C\), as both tanks contain 9\pi cubic meters of water each.