Question
Download Solution PDFComprehension
If the radius of cylinder (C2) increased by 3.5cm, and the height of both cylinders will remain the same, then how much quantity of water will remain in the cylinder (C1)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe volume of the Cylinder i.e. V = πr2h
According to the question:
Volume of Cylinder (C1) - Volume of Cylinder (C2) = 9240cm3
⇒ 22/7 x 14 x 14 x h - 22/7 x 7 x7 x h = 9240
⇒ 616h - 154h = 9240
⇒ 462h = 9240
⇒ h = 20cm.
New Volume of Cylinder (C2)
⇒ 22/7 x 10.5 x 10.5 x 20 cm3
⇒ 6930 cm3
Volume of Cylinder (C1) = 12320 cm3
Quantity of water remaining in cylinder (C1) = (12320 - 6930)cm3
⇒ 5390 cm3
Hence, the correct answer is 5390cm3.
Last updated on May 21, 2025
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