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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 120Ο€/3 cmΒ³ Correct Answer Incorrect Answer
    B 160Ο€/3 cmΒ³ Correct Answer Incorrect Answer
    C 180Ο€/3 cmΒ³ Correct Answer Incorrect Answer
    D 200Ο€/3 cmΒ³ Correct Answer Incorrect Answer

    Solution

    Volume of the cone = (1/3)Ο€rΒ²h, Given: r = 4 cm, h = 10 cm. Volume of the cone = (1/3)Ο€(4)Β²(10) Volume of the cone = (1/3)Ο€ Γ— 16 Γ— 10 Volume of the cone = 160Ο€/3 cmΒ³. Correct option: B) 160Ο€/3 cmΒ³.

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