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    Question

    A square prism has a base side of 10 cm and a height of

    15 cm. If a cone with the same base and height is removed from the prism, what is the volume of the remaining solid?
    A 950.5 cm³ Correct Answer Incorrect Answer
    B 1107.5 cm³ Correct Answer Incorrect Answer
    C 1153.5 cm³ Correct Answer Incorrect Answer
    D 1100 cm³ Correct Answer Incorrect Answer

    Solution

    Volume of the square prism = side² * height = (10²) * 15 = 100 * 15 = 1500 cm³. Volume of the cone = (1/3) * π * r² * h Where r = 5 cm (base radius) and h = 15 cm: Volume of the cone = (1/3) * π * (5²) * 15 = (1/3) * π * 25 * 15 = 125π cm³. Remaining volume = Volume of the prism - Volume of the cone = 1500 - 125π ≈ 1500 - 392.5 = 1107.5 cm³. Correct option: b) 1107.5 cm³

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