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 =  0.4301 dm
h =  2.1506 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=0.4301 dm
h=5 r=5 0.4301=2.1506 dm



We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 0 comments:
avatar




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

Next similar math problems:

  • 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?):
  • Perimeter of base
    valec_16 The circumference of the base of the rotating cylinder is same as its height. What is the diameter and height of this cylinder with volume 1 liter?
  • The pot
    hrnec The pot is a cylinder with a volume of V = 7l and an inner diameter of d = 20cm. Find its depth.
  • Cylindrical tank
    valec_7 Cylindrical tank holds 600hl water and is deep 2.5 m. Calculate the diameter of the cylinder.
  • Two rectangular boxes
    cuboid_2 Two rectangular boxes with dimensions of 5 cm, 8 cm, 10 cm, and 5 cm, 12 cm, 1 dm are to be replaced by a single cube box of the same cubic volume. Calculate its surface.
  • Pumps
    water_pump Pump that draws water at velocity 3.5 liters per second water from a construction trench take 35 minutes. a) Find out how many minutes the water would run out of the trench pump that draws 7.4 liters of water per second. b) What is the pumping velocity wo
  • Metal tube
    pipe2 Calculate the metal tube mass 8dm long with the outer radius 5cm and the inner radius 4.5cm and 1cm3 of this metal is 9.5g.
  • Cuboid aquarium
    cuboid Cuboid 25 times 30 cm. How long is third side if cuboid contains 30 liters of water?
  • Cylinder - h2
    valec_1 Cylinder volume is 2.6 liters. Base area is 1.3 dm2. Calculate the height of the cylinder.
  • A residential
    water3_8 A residential colony has a population of 5400 and 60 litres of water is required per person per day. For the effective utilization of rain water, they constructed a water reservoir measuring 48m × 27m × 25m to collect the rain water. For how many days, th
  • Cylinder container
    valec2 The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach?
  • Water flow 2
    water3_9 How many litres of water will flow in 7 minutes from a cylindrical pipe 1 cm in diameter, if the water flows at a speed of 30 km per hour
  • Thousand balls
    balls2 We have to create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?
  • Volume of sphere
    sphere_in_cube How many times does the volume of a sphere increase if its radius increases 2 ×?
  • Cuboid walls
    watertank The base of the block is a rectangle whose sides have lengths in the ratio 13: 7. Find the volume of the block in liters, if the longer side of the base measures 65 cm and the height of the block is 1.2 m
  • 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?
  • Wooden container
    cube_shield The cube-shaped wooden container should be covered with a metal sheet inside. The outer edge of the container is 54cm. The wall thickness is 25 mm. The container has no lid. Calculate. How many sheets will be needed to cover it?