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Calculate the volume of water in a cylindrical dam that is 80% full, given outer diameter, wall thickness, height, and percentage full.
Mathematics
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Part 1.1· 6 steps
Convert the wall thickness from centimeters to meters.
Calculate the inner diameter of the dam.
The outer diameter is 6 m, and the wall thickness is 0.35 m on each side.
Calculate the inner radius of the dam.
Calculate the full volume of the dam's interior (the space for water).
The dam is a cylinder with height .
Calculate the volume of water when the dam is 80% full.
Convert the volume of water to kilolitres.
Given that .
The volume of water in the dam is .
Part 1.2
Convert the area from square millimeters to square centimeters to match the height unit.
Given height .
Given area .
Since , then .Use the formula for the area of a triangle to find the base length.
Solve for the base length.
The base length of the triangle is .
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