An experiment

The three friends agreed to the experiment. At the same time, they all took out an empty cylindrical container on the windowsill and placed it so that it was horizontal. Everyone lives in a different village, and each used a container with a different bottom diameter. When they met the next day after the rain, they shared the results of their experiment. Jan's vessel had a bottom content of 400 mm2 and measured a volume of 16 cm3, Charles's vessel had an area of 10 cm2 and measured 0.4 dm3, and Wenceslas's vessel had a bottom area of 0.2 dm2 and measured 0.4 l of water.

At what height from the bottom was the water level after the rain a) Jan, b) Charles, c) Wenceslas?

Correct answer:

a =  40 mm
b =  400 mm
c =  200 mm

Step-by-step explanation:

S1=400 mm2 V1=16 cm3 mm3=16 1000  mm3=16000 mm3  V1=S1 a  a=V1/S1=16000/400=40 mm
S2=10 cm2 mm2=10 100  mm2=1000 mm2 V2=0.4 dm3 mm3=0.4 1000000  mm3=400000 mm3  V2=S2 b  b=V2/S2=400000/1000=400 mm
S3=0.2 dm2 mm2=0.2 10000  mm2=2000 mm2 V3=0.4 l mm3=0.4 1000000  mm3=400000 mm3  V3=S3 c  c=V3/S3=400000/2000=200 mm

Did you find an error or inaccuracy? Feel free to write us. Thank you!


Tips to related online calculators
Do you want to convert area 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:

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

  • Basic form
    time Expressed the ratios of values in the basic form: 0,5 t : 1,2 kg 200 l : 0,15 m3 12 t : 3600 kg 500 kg : 2,5 t 0,9 kg : 500 g 3,6 m : 240 cm 1200 mm : 2,4 m 300 l : 0,3 m3 6 min 30 s : 900 s
  • Percentages
    percents2 Calculate the percentages to two decimal places: a / 15 min in 4 hours B / 35 cm2 of 12.5 dm2 c / 2dm2 of 400 cm2 D / 0.2 liters from 2.2 liters
  • Cube-shaped container
    watertank The cube-shaped container has a height of 52 cm and a square base. The container was filled to the brim with water, then we immersed a metal cube in it, which caused 2.7 l of water to flow out of the container. After removing the cube from the water, the
  • The cylindrical container
    balls2 The cylindrical container has a base area of 300 cm3 and a height of 10 cm. It is 90% filled with water. We gradually insert metal balls into the water, each with a volume of 20 cm3. After inserting how many balls for the first time does water flow over
  • Metal balls
    three_circles_inside_one Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level?
  • Octagonal prism vase
    8prism 0.7 l of water can be poured in an octagonal prism vase. What is the height of the vase, if the bottom has a area of 25 cm square and a thickness of 12 mm?
  • Four prisms
    hranol4b Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm2 b) 300 cm2 c) 3000 cm3 d) 300 cm3 Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t
  • The cylinder base
    valec The cylinder with a base of 8 dm2 has a volume of 120 liters. From a cylinder filled with water, 40 liters of water was removed. At what height from the bottom /with precision to dm/ is the water level?
  • Cardboard box
    karton_krabica Peter had square cardboard. The length of the pages was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit exactly 108 cubes with an edge 1 dm long. Julia cut four squares with a side of
  • Water tank
    valec The water tank has a cylindrical shape with a base diameter of 4.2 m and is 80 cm deep. How many minutes will take fill it 10 cm below the edge of the tank if water flowing 2 liters per second?
  • The quadrilateral pyramid
    jehlan_4b_obdelnik The quadrilateral pyramid has a rectangular base of 24 cm x 3.2dm and a body height of 0.4m. Calculate its volume and surface area.
  • Aquarium
    akvarko The box-shaped aquarium is 40 cm high; the bottom has dimensions of 70 cm and 50 cm. Simon wanted to create an exciting environment for the fish, so he fixed three pillars to the bottom. They all have the shape of a cuboid with a square base. The base edg
  • Water level
    pool What is the area of the water level of the pool, if after filling 25 m3 of water level by 10 cm? a) 25 m2 b) 250 m2 c) 2500 dm2 d) 25,000 cm2
  • The pot
    hrniec The pot is in 1/3 filled with water. Bottom of the pot has an area of ​​329 cm2. How many centimeters rises water level in the pot after add 1.2 liters of water?
  • Liters in cylinder
    cylinder Determine the height at which level 24 liters of water in a cylindrical container having a bottom diameter 36 cm.
  • Two walls
    cubes Calculate the surface area of a cube in m2 if you know that the area of its two walls is 72 dm2.
  • Volume of the cone
    kuzel Find the volume of the cone with the base radius r and the height v. a) r = 6 cm, v = 8 cm b) r = 0,9 m, v = 2,3 m c) r = 1,4 dm, v = 30 dm