Question
Download Solution PDFA glass cylinder with diameter 20 cm has water to a height of 9 cm. A metal cube of 8 cm edge is immersed in it completely. Calculate the height (correct to I decimal place) by which the water will rise in the cylinder (by taking π = 3.142).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A glass cylinder with diameter 20 cm has water to a height of 9 cm. A metal cube of 8 cm edge is immersed in it completely.
Formula used:
Volume of cylinder = Πr2h
Volume of cube = a3
Calculation:
Diameter of cylinder = 20 cm
⇒ Radius of cylinder = 10 cm
Now, Volume of water displaced (because of which water will rise in cylinder) = Volume of cube
∴ πr2h = a3
⇒ 3.142 × 10 × 10 × h = 83
⇒ 3142 × 1/10 × h = 512
⇒ h = 5120/3142
⇒ h = 1.62 cm ~ 1.6 cm
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