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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 120╧А/3 cm┬│ Correct Answer Incorrect Answer
      B 160╧А/3 cm┬│ Correct Answer Incorrect Answer
      C 180╧А/3 cm┬│ Correct Answer Incorrect Answer
      D 200╧А/3 cm┬│ Correct Answer Incorrect Answer

      Solution

      Volume of the cone = (1/3)╧Аr┬▓h, Given: r = 4 cm, h = 10 cm. Volume of the cone = (1/3)╧А(4)┬▓(10) Volume of the cone = (1/3)╧А ├Ч 16 ├Ч 10 Volume of the cone = 160╧А/3 cm┬│. Correct option: B) 160╧А/3 cm┬│.

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