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Digital SAT
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Volume of an Updated Cylindrical Tank

Hard Functions And Modeling Modeling With Geometry

A cylindrical tank has a radius of $r$ meters and a height of $h$ meters. The volume $V$ of the tank can be modeled using the formula:

$$V =\frac{22}{7} r^2 h$$

After increasing the height of the tank by 50% and the radius by 20%, the new volume becomes:

$$V_{new} =\frac{22}{7} (1.2r)^2 (1.5h)$$

If the original volume of the tank is 1000 cubic meters, calculate the new volume of the tank after these adjustments. Record your answer as a decimal to the nearest whole number in the grid below.

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