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A Metalic Solid Cone is Melted to Form a Solid Cylinder of Equal Radius. If the Height of the Cylinder is 6 Cm, Then the Height of the Cone Was - Mathematics

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प्रश्न

A metalic solid cone is melted to form a solid cylinder of equal radius. If the height of the cylinder is 6 cm, then the height of the cone was

विकल्प

  • 10 cm

  • 12 cm

  • 18 cm

  • 24 cm

MCQ

उत्तर

Let the height of the cone be h.
Volume of cylinder = Volume of cone

\[\Rightarrow \pi r^2 \left( 6 \right) = \frac{1}{3}\pi r^2 h\]

\[ \Rightarrow h = 18 cm\]

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अध्याय 14: Surface Areas and Volumes - Exercise 14.5 [पृष्ठ ९१]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 14 Surface Areas and Volumes
Exercise 14.5 | Q 42 | पृष्ठ ९१

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