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A cylinder P of radius 14 m and height 44 m pierces through another cylinder Q whose radius is thrice the radius of cylinder P and height is ;i. times of the cylinder P as shown in the figure below. Two different liquids are poured simultaneously in both the cylinders at the rate of 44 m3/minute in cylinder P and at the rate of 64 m3/ minute in cylinder Q, till the cylinders are filled up to the brim. The time taken to completely fill the two cylinders is
  • a)
    8 hours and 48 minutes
  • b)
    4 hours
  • c)
    20 hours and 32 minutes
  • d)
    12 hours and 36 minutes
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A cylinder P of radius 14 m and height 44 m pierces through another c...
Volume of cylinder P = 44 x 14 x 14 x 22/7 = 27104 m3
Radius of cylinder Q = 14 x 3 = 42 m
Height of cylinder Q = (4/11) x 44 = 16 m
Volume of cylinder Q in which the liquid can be filled = 22/7 x 42 x 42 x 16 — 22/7 x 14 x 14 x 16
= 88704 — 9856 = 78848 m3
Time taken to fill cylinder P = 27104/44 = 616 minutes
Time taken to fill cylinder Q = 78848/64 = 1232 minutes
So the time taken to completely fill the 2 cylinders is 1232 minutes or 20 hours and 32 minutes.
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A cylinder P of radius 14 m and height 44 m pierces through another cylinder Q whose radius is thrice the radius of cylinder P and height is ;i. times of the cylinder P as shown in the figure below. Two different liquids are poured simultaneously in both the cylinders at the rate of 44 m3/minute in cylinder P and at the rate of 64 m3/ minute in cylinder Q, till the cylinders are filled up to the brim. The time taken to completely fill the two cylinders isa)8 hours and 48 minutesb)4 hoursc)20 hours and 32 minutesd)12 hours and 36 minutesCorrect answer is option 'C'. Can you explain this answer?
Question Description
A cylinder P of radius 14 m and height 44 m pierces through another cylinder Q whose radius is thrice the radius of cylinder P and height is ;i. times of the cylinder P as shown in the figure below. Two different liquids are poured simultaneously in both the cylinders at the rate of 44 m3/minute in cylinder P and at the rate of 64 m3/ minute in cylinder Q, till the cylinders are filled up to the brim. The time taken to completely fill the two cylinders isa)8 hours and 48 minutesb)4 hoursc)20 hours and 32 minutesd)12 hours and 36 minutesCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A cylinder P of radius 14 m and height 44 m pierces through another cylinder Q whose radius is thrice the radius of cylinder P and height is ;i. times of the cylinder P as shown in the figure below. Two different liquids are poured simultaneously in both the cylinders at the rate of 44 m3/minute in cylinder P and at the rate of 64 m3/ minute in cylinder Q, till the cylinders are filled up to the brim. The time taken to completely fill the two cylinders isa)8 hours and 48 minutesb)4 hoursc)20 hours and 32 minutesd)12 hours and 36 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylinder P of radius 14 m and height 44 m pierces through another cylinder Q whose radius is thrice the radius of cylinder P and height is ;i. times of the cylinder P as shown in the figure below. Two different liquids are poured simultaneously in both the cylinders at the rate of 44 m3/minute in cylinder P and at the rate of 64 m3/ minute in cylinder Q, till the cylinders are filled up to the brim. The time taken to completely fill the two cylinders isa)8 hours and 48 minutesb)4 hoursc)20 hours and 32 minutesd)12 hours and 36 minutesCorrect answer is option 'C'. Can you explain this answer?.
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