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    Question

    A cylinder has a radius of 4 cm and a height of 10 cm. A

    cone with the same radius is placed inside the cylinder, touching the bottom and the sides. If the cone's height is 10 cm, find the volume of the cone.
    A 120π/3 cm³ Correct Answer Incorrect Answer
    B 160π/3 cm³ Correct Answer Incorrect Answer
    C 180π/3 cm³ Correct Answer Incorrect Answer
    D 200π/3 cm³ Correct Answer Incorrect Answer

    Solution

    Volume of the cone = (1/3)πr²h, Given: r = 4 cm, h = 10 cm. Volume of the cone = (1/3)π(4)²(10) Volume of the cone = (1/3)π × 16 × 10 Volume of the cone = 160π/3 cm³. Correct option: B) 160π/3 cm³.

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