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Find the lateral surface area of a cylinder. Consider the following statements: A. The volume of a cone with the same base as the cylinder and height 30 cm is equal to the volume of the cylinder. B. The circumference of the base of the cylinder is 132 cm. C. The volume of the cylinder is 13,860 cm\(^3\).

1. Only A and B together
2. Only A and C together
3. All the three together
4. Any two of the three together

Correct answer: Any two of the three together

Solution

Statement A gives a relation between the cone and cylinder volumes, which helps connect the cylinder height with the cone height. Statement B gives the circumference, so the radius is known; statement C gives the cylinder volume, which can also be used with A to find the height. Hence any two statements are sufficient.

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