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Question
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
Solution
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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