Bottle

A company wants to produce a bottle whose capacity is 1.25 liters. Find the dimensions of a cylinder that will be required to produce this 1.25litres if the hight of the cylinder must be 5 times the radius.

Correct result:

r =  0.43 dm
h =  2.15 dm

Solution:

V=1.25 l→dm3=1.25⋅ 1 dm3=1.25 dm3 h=5r V=πr2 h V=πr25r V=5 πr3  r=V/(5π)3=1.25/(5⋅ 3.1416)3=0.43 dmV=1.25 \ l \rightarrow dm^3=1.25 \cdot \ 1 \ dm^3=1.25 \ dm^3 \ \\ h=5r \ \\ V=\pi r ^2 \ h \ \\ V=\pi r ^2 5r \ \\ V=5 \ \pi r^3 \ \\ \ \\ r=\sqrt[3]{ V/(5 \pi)}=\sqrt[3]{ 1.25/(5 \cdot \ 3.1416)}=0.43 \ \text{dm}
h=5⋅ r=5⋅ 0.4301=4320=2.15 dmh=5 \cdot \ r=5 \cdot \ 0.4301=\dfrac{ 43 }{ 20 }=2.15 \ \text{dm}

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!





Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

Showing 0 comments:
avatar




Tips to related online calculators
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:

  • Garden pond
    half_circle_pool Concrete garden pond has bottom shape of a semicircle with a diameter 1.7 m and is 79 cm deep. Daddy wants make it surface. How many liters of water is in pond if watel level is 28 cm?
  • Conva
    konva_1 How many liters of water fit into the shape of a cylinder with a bottom diameter 20 cm and a height 45 cm?
  • Liters in cylinder
    cylinder_1 Determine the height at which level 24 liters of water in a cylindrical container having a bottom diameter 36 cm.
  • Water level
    hladina.JPG How high reaches the water in the cylindrical barell with a diameter of 12 cm if there is a liter of water? Express in cm with an accuracy of 1 decimal place.
  • 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?
  • Circular pool
    b1 The 3.6-meter pool has a depth of 90 cm. How many liters of water is in the pool?
  • Container
    valec2_5 The container has a cylindrical shape the base diameter 0.8 m and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container?
  • The pot
    hrniec_1 Diameter of the pot 38 cm. The height is 30 cm. How many liters of water can fit in the pot?
  • Cylinder - h2
    valec_1 Cylinder volume is 2.6 liters. Base area is 1.3 dm2. Calculate the height of the cylinder.
  • The pot
    hrnec The pot is a cylinder with a volume of V = 7l and an inner diameter of d = 20cm. Find its depth.
  • Simplify 2
    expr Simplify expression: 5ab-7+3ba-9
  • Cylindrical tank
    valec_7 Cylindrical tank holds 600hl water and is deep 2.5 m. Calculate the diameter of the cylinder.
  • Cylinder twice
    valec_3 If the radius of the cylinder increases twice, and the height is reduced twice, then the volume of the cylinder increases (how many times?):
  • Common cylinder
    valec_2 I've quite common example of a rotary cylinder. Known: S1 = 1 m2, r = 0.1 m Calculate : v =? V =? You can verify the results?
  • Pool
    bazen-2-05_1 The pool has the shape of a cylinder with a diameter 4.6m, the presumed height is 130cm. The bucket fits 12l of water. How many buckets do you have to bring to fill this pool?
  • Height of the cylinder
    valec The cylinder volume is 150 dm cubic, the base diameter is 100 cm. What is the height of the cylinder?
  • A cylindrical tank
    tanks_8 A cylindrical tank can hold 44 cubic meters of water. If the radius of the tank is 3.5 meters, how high is the tank?