Tank & Pipes Question

Replies

• 

  ISHAN TOPRE

  Re: ?????
  
  The volume of tank=[C-(a+b)]*20*60=[(b+50+b)-c]*20*60=[2b-c+50]20*60---------1
  
  If A and C are opened volume of tank= (c-a)*4*60--------2
  If B and C are opened volume of tank=(c-b)*2*60------------3
  
  Equating 2 and 3 with 1 we get two equations as
  
  
  21b-11c+500=0 and 11b-6c+300=0
  a=110lit/min, b=60 lit/min c=100 lit/min
  vol of tank= 1200liters.
  
  
  Am I right?
• 

  maria flor

  Re: ?????
  
  I think your correct....but something wrong on your answer in pipe B.
  Find the rate of pipe A in liters per minute.
  a. 120 b. 130 c.110 d. 140
  Find the rate of pipe C in liters per minute.
  a. 170 b. 160 c. 150 d. 140
  find the capacity of the tank in liters.
  a. 1200 b. 12500 c. 11500 d. 13000
• 

  ISHAN TOPRE

  Yup got it Maria. 😀
  a=110lit/min, c=160lit/min volume of tank= 1200 liters. It was just a calculation mistake. 😁
• 

  maria flor

  Find the rate of pipe A in liters per minute. Answer: 110
• 

  maria flor

  Here's the next question:
  A cylindrical tank of radius 1.5m. and height of 5m. is filled with water to depth of of 2m.
  *If one spherical ball having a diameter of 2m. is dropped into tank slowly, by how much is the level of water raised?
  *If two spherical balls having diameter of 2m. each is dropped into the tank slowly, by how much is the level of the water raised.
• 

  ISHAN TOPRE

  Yup Maria.
  Volume of water initially in tank= Pi*1.5*1.5*2=14.137m3
  Volume of ball=4*Pi*8/3=33.510m3
  When the ball is dropped in tank Vol=vol of tank initially+vol of ball.
  
  Dividing this total volume by Pi*1.5*1.5 we will get the vertical height.
  Vertical height-2 will give total rise in water level.
  The rise in tank level will be 4.7407m and 9.481m respectively.
  
  Am I right?
• 

  maria flor

  ishutopre

  Yup Maria.
  Volume of water initially in tank= Pi*1.5*1.5*2=14.137m3
  Volume of ball=4*Pi*8/3=33.510m3
  When the ball is dropped in tank Vol=vol of tank initially+vol of ball.
  
  Dividing this total volume by Pi*1.5*1.5 we will get the vertical height.
  Vertical height-2 will give total rise in water level.
  The rise in tank level will be 4.7407m and 9.481m respectively.
  
  Am I right?

  It's wrong Ishu...
• 

  maria flor

  Here's another question but not related to pipe or pipe. This is just easy.
  Two circles are tangent to a third circle internally and are tangent to each other externally. The distance between their centers are 10 inches, 7 inches and 5 inches. Find their radii.
• 

  ISHAN TOPRE

  Oh sorry I calculated the answers yesterday but forgot to post them. 😔
  
  
  If you will draw the diagram you will get the three equations.
  x+y=10
  y+z=5
  x+z=7
  
  Solving them we get the radii of those circle as x=6, y=4, z=1.
  Am I right?
• 

  maria flor

  Here's next:
  A frog is trapped in a 24m well. Every minute it jumps 3m and slips back 2m. After how many jumps will it reach the top of the well????
• 

  ISHAN TOPRE

  The frog jumps 1m on each jump. So he will jump 22 times. Because after the 21st jump, the frog will get out on 22nd jump.
  How's that? 😀
• 

  maria flor

  OK. Pls. show your solution
  Next:
  The perimeter of a triangle with integral sides is 24 units. If it is a right triangle, what must be its are? Show your solution.😀
• 

  ISHAN TOPRE

  As you say, if the triangle is an isosceles right angled triangle.
  Now hypotenuse=(underroot2)*length of side.
  
  hence let length of side be x.
  
  x+x+(root 2)*x=24
  x=7.0294
  Now area of triangle=0.5*base*height.
  Area=0.5*7.0294*7.0294
  =24.706 square unit
• 

  maria flor

  Next question:
  A mixture compound from equal parts of two liquids, water and oil was placed in a hemispherical bowl. The total depth of the two liquids is 6cm. After standing for a short time in the mixture separated. Thethickness of the segment of oil is 2cm.Find the base radius of the segment containing water.
• 

  maria flor

  ishutopre

  Yup Maria.
  Volume of water initially in tank= Pi*1.5*1.5*2=14.137m3
  Volume of ball=4*Pi*8/3=33.510m3
  When the ball is dropped in tank Vol=vol of tank initially+vol of ball.
  
  Dividing this total volume by Pi*1.5*1.5 we will get the vertical height.
  Vertical height-2 will give total rise in water level.
  The rise in tank level will be 4.7407m and 9.481m respectively.
  
  Am I right?

  Just to remind you, your answer is wrong.
• 

  ISHAN TOPRE

  OK Maria. Assuming the hemispherical container is filled full. The original depth is full. So the radius of hemispherical container is 8 cm. Agreed?
  
  Now the upper 2 cm is the oil layer. So if you draw the diagram and chop off above 2 cm from hemisphere, then you get the radius of immediate base radius of segment.as 7.746 cm. 😀
  
  Also the diameter is 15.492 cm. 😀
  
  Am I right?
• 

  maria flor

  ishutopre

  OK Maria. Assuming the hemispherical container is filled full. The original depth is full. So the radius of hemispherical container is 8 cm. Agreed?
  
  Now the upper 2 cm is the oil layer. So if you draw the diagram and chop off above 2 cm from hemisphere, then you get the radius of immediate base radius of segment.as 7.746 cm. 😀
  
  Also the diameter is 15.492 cm. 😀
  
  Am I right?

  your answer is wrong..