Volume of water in a tilted conical container
A container is in the shape of a conical frustum with a lower base radius of 5 cm, and an upper base radius of 7.5 cm, and a height of 10 cm. The container contains a certain amount of water. When the container is tilted (rotated) by an angle of about a horizontal axis, the water surface intersects the lower base in a line that passes through its center. Find the volume of water in the container in cubic centimeters. Submit your answer correct to 2 decimal places.
The answer is 57.88.
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