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Diameter of the water tank is $\"\"$ .

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Radius is $\"\"$ .

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Find the total capacity of the water tank

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$\"\"$

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The depth of the water is $\"\"$ .

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$\"\"$

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$\"\"$

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The area of the cross section is $\"\"$

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$\"\"$ .

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Evaluate the integral $\"\"$ by using trigonometric substitution method:

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The total volume of water tank is thus about $\"\"$

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The percentage of the total capacity is,

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$\"\"$

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The tank is filled about $\"\"$ .

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$\"\"$ .