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Total surface area of a solid made by joining or drilling a cone with a cylinder or hemisphere

This type of question, asked 2 times: 15 Nov 2020 Tier II, 18 Jan 2025 Tier II. All 2 questions below, oldest first.

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  1. Question 1

    15 Nov 2020 Tier II

    27
    The height of a solid cylinder is 30 cm and the diameter of its base is 10 cm. Two identical conical holes each of radius 5 cm and height 12 cm are drilled out. What is the surface area (in cm2\text{cm}^2) of the remaining solid?

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  2. Question 2

    18 Jan 2025 Tier II

    21
    A toy is in the form of a cone mounted on a hemisphere. The radius of the hemisphere and that of the cone is 36 cm and height of the cone is 105 cm. The total surface area (in cm2\text{cm}^2) of the toy is:

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