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A Vessel in the Form of a Hemispherical Bowl is Full of Water. the Internal Radii of the Bowl and Cylinder Are Respectively 6 Cm and 4 Cm. Find the Height of Water in the Cylinder - Mathematics

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प्रश्न

A vessel in the form of a hemispherical bowl is full of water. The contents are emptied into a cylinder. The internal radii of the bowl and cylinder are respectively 6 cm and 4 cm. Find the height of water in the cylinder

उत्तर

It is given that,
Volume of water is hemisphere bowl = volume of cylinder

⇒`2/3π(6)^3=π(4)^2h`

⇒`h=2/3×(6xx6xx6)/(4xx4)`

⇒ h=9cm

∴ Height of cylinder =9cm.

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अध्याय 21: Surface Areas and Volume of a Sphere - Exercise 21.2 [पृष्ठ २०]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 21 Surface Areas and Volume of a Sphere
Exercise 21.2 | Q 12 | पृष्ठ २०

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