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ISEE Upper Level
Mathematics Achievement

Volume of a Truncated Cone

Hard Measurement Surface Area And Volume

A water tank is in the shape of a truncated cone (frustum). The radius of the top circular face is 4 meters, and the radius of the bottom circular face is 2 meters. The vertical height of the frustum is 6 meters. To find the volume of the frustum, we can use the formula:

$$ V = \frac{1}{3} \pi h (R^2 + Rr + r^2) $$

where $R$ is the radius of the top face, $r$ is the radius of the bottom face, and $h$ is the height. What is the volume of the water tank?

Hint

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