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      Question

      A cone has a height of 28 cm. A sphere is melted to form

      this cone. If the radius of the sphere is 7 cm, find the radius of the base of the cone.
      A 7 cm Correct Answer Incorrect Answer
      B 12 cm Correct Answer Incorrect Answer
      C 14 cm Correct Answer Incorrect Answer
      D 16 cm Correct Answer Incorrect Answer

      Solution

      Volume of sphere = Volume of cone (4/3)Ο€rΒ³ = (1/3)Ο€RΒ²H (4/3) Γ— Ο€ Γ— 7Β³ = (1/3) Γ— Ο€ Γ— RΒ² Γ— 28 4 Γ— 343 = 28RΒ² RΒ² = 49 R = 7 cm Correct option: a

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