UCEED Practice Questions - Undergraduate Common Entrance Exam For Design Exam

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Imagine a solid cylinder of radius R and height H standing vertically on a flat surface. A solid sphere of radius R is placed directly on top of the cylinder so that their centers align vertically. How many surfaces of the sphere and cylinder remain visible/exposed to the air?

The entire surface of the sphere, the curved surface of the cylinder, and the base of the cylinder. The entire surface of the sphere, the curved surface of the cylinder, and the top flat face of the cylinder. A hemisphere of the sphere, the curved surface of the cylinder, and the base of the cylinder. The entire surface of the sphere except a single point of contact, the curved surface of the cylinder, and the bottom flat face of the cylinder.

Correct Answer:

The entire surface of the sphere, the curved surface of the cylinder, and the top flat face of the cylinder.

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