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Cylinder: a relation between its curved, base and total areas fixes h in terms of r: find capacity or area

This type of question, asked 2 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II. All 2 questions below, oldest first.

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  1. Question 1

    29 Jan 2022 Tier II

    95
    The radius of the base of a cylindrical tank is 4 m. If three times the sum of the areas of its two circular faces is twice the area of its curved surface, then the capacity (in kilolitres) of the tank is:

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  2. Question 2

    3 Feb 2022 Tier II

    48
    The volume of a cylinder is 4312 cm34312\ \text{cm}^3. Its curved surface area is one-third of its total surface area. Its curved surface area (in cm2\text{cm}^2) is: (Take π=227\pi = \frac{22}{7})

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