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Digital SAT
Digital SAT Mathematics - Calculator Section

Cylindrical Tank Water Volume

Medium Functions And Modeling Modeling With Geometry

A cylindrical water tank has a radius of 5 meters and a height of 8 meters. Water is being pumped into the tank at a rate of 3 cubic meters per hour. The volume of a cylinder can be calculated using the formula:

$$ V = ext{base area} imes ext{height} $$

Where the base area of a cylinder is calculated as:

$$ ext{base area} = ext{radius}^2 imes ext{pi} $$

At what time will the water reach a height of 2 meters if the tank is empty at the start?

Hint

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