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A cylindrical tank with a radius of 4 meters and a height of 10 meters is filled with water. If the water needs to be transferred to a cuboidal tank with a base area of 32 square meters, what will be the height of the water in the cuboidal tank?
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5 meters
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10 meters
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15 meters
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20 meters
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It's Wrong!
Calculate the volume of the cylindrical tank: Volume of a cylinder = π × r² × h Here, r = 4 meters and h = 10 meters Volume = π × 4² × 10 Volume = π × 16 × 10 Volume = 160π cubic meters
The volume of water needs to be transferred to the cuboidal tank. The volume remains the same. Volume of the cuboidal tank = base area × height Here, the base area = 32 square meters and the volume = 160π cubic meters.
Set up the equation to find the height of the cuboidal tank: 160π = 32 × height
Solve for the height: height = 160π / 32 height = 5π
The height of the water in the cuboidal tank: π cancels out, leaving: height = 5 meters
Therefore, the height of the water in the cuboidal tank is 10 meters.
