Water

Into a full cylindrical tank high 3 with base radius 2.4 m we insert cuboid with dimensions 1.7 m, 1.7 m, 0.8 m. How many liters of water will come out?

Result

x =  51974.7 l

Solution:

h=3 m r=2.4 m  a=1.7 m b=1.7 m c=0.8 m  V1=π⋅ r2⋅ h=3.1416⋅ 2.42⋅ 3≐54.2867 m3 V2=a⋅ b⋅ c=1.7⋅ 1.7⋅ 0.8=289125=2.312 m3  V3=V1−V2=54.2867−2.312≐51.9747 m3  x=V3→l=V3⋅ 1000 l=51.974721054⋅ 1000 l=51974.72105 l=51974.7 lh=3 \ \text{m} \ \\ r=2.4 \ \text{m} \ \\ \ \\ a=1.7 \ \text{m} \ \\ b=1.7 \ \text{m} \ \\ c=0.8 \ \text{m} \ \\ \ \\ V_{1}=\pi \cdot \ r^2 \cdot \ h=3.1416 \cdot \ 2.4^2 \cdot \ 3 \doteq 54.2867 \ \text{m}^3 \ \\ V_{2}=a \cdot \ b \cdot \ c=1.7 \cdot \ 1.7 \cdot \ 0.8=\dfrac{ 289 }{ 125 }=2.312 \ \text{m}^3 \ \\ \ \\ V_{3}=V_{1}-V_{2}=54.2867-2.312 \doteq 51.9747 \ \text{m}^3 \ \\ \ \\ x=V_{3} \rightarrow l=V_{3} \cdot \ 1000 \ l=51.974721054 \cdot \ 1000 \ l=51974.72105 \ l=51974.7 \ \text{l}

Try another example


Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Do you want to convert length units?
Do you know the volume and unit volume, and want to convert volume units?

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  1. Hectoliters
    hl How many hectoliters of water fits into cuboid tank with dimensions of a = 3.5 m b = 2.5 m c = 1.4 m?
  2. Water lake
    jezirko The length of the lake water is 8 meters width 7 meters and depth 120 centimeters. How many liters of water can fit into the water lake?
  3. Half-filled
    hrnec A cylindrical pot with a diameter of 24 cm is half-filled with water. How many centimeters will the level rise if we add a liter of water to it?
  4. Water reservoir
    nadrz_9 The water tank has a cuboid with edges a= 1 m, b=2 m , c = 1 m. Calculate how many centimeters of water level falls, if we fill fifteen 12 liters cans.
  5. Fire tank
    pool_3 How deep is the fire tank with the dimensions of the bottom 7m and 12m, when filled with 420 m3 of water?
  6. Infants water
    kojenec From the tank, which has 10 hectoliters of water for infants, went 580 liters at mornening and 340 liters in the afternoon. How many liters left in the tank?
  7. Aquarium
    akvarium Aquarium is rectangular box with square base containing 76 liters of water. Length of base edge is 42 cm. To what height the water level goes?
  8. The shop
    lahev The shop has 3 hectoliters of water. How many liter bottles is it?
  9. A swiming
    water2 A swiming pool holds 30000lt of water. How many gallons does it hold? 1 gallon= 4.55lt
  10. Liquid
    valec How much liquid does the rotary cylinder tank hold with base diameter 1.2m and height 1.5m?
  11. Diameter of a cylinder
    cylinder I need to calculate the cylinder volume with a height of 50 cm and a diameter of 30 cm.
  12. Mr. Tolentino
    numbers2_25 Mr. Tolentino own a piece of land, it measures 86.12 meters long 68.293 meters width. How much longer is the length than the width?
  13. Customary length
    inch Convert length 65yd 2 ft to ft
  14. Two cuboids
    cuboid_13 Find the volume of cuboidal box whose one edge is: a) 1.4m and b) 2.1dm
  15. Jill's
    honey Jill's mom stored some of the honey in a container that held 3/4 of a gallon. She used half of this amount to sweeten tea. How much honey, in cups was used in the tea. Express your answers in cups.
  16. Two dogs
    calendar Izzy's dog is 10 1/2 years old. Paige's dog is 18 months old. How many years older is Izzy's dog?
  17. Wood dividing
    meter_23 Which equation calculates the number of 1/3-foot pieces that can be cut from a piece of wood that is 7 feet long?