Cube into cylinder

If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge?

Result

a =  36.905 cm

Solution:

r=40 cm h=10 cm  V=π⋅ r2⋅ h=3.1416⋅ 402⋅ 10≐50265.4825 cm3  V=a3  a=V3=50265.48253≐36.9054≐36.905 cmr=40 \ \text{cm} \ \\ h=10 \ \text{cm} \ \\ \ \\ V=\pi \cdot \ r^2 \cdot \ h=3.1416 \cdot \ 40^2 \cdot \ 10 \doteq 50265.4825 \ \text{cm}^3 \ \\ \ \\ V=a^3 \ \\ \ \\ a=\sqrt[3]{ V}=\sqrt[3]{ 50265.4825 } \doteq 36.9054 \doteq 36.905 \ \text{cm}

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?
Tip: Our volume units converter will help you with the conversion of volume units.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Shots
    broky 5500 lead shots with diameter 4 mm is decanted into a ball. What is it diameter?
  2. For thinkings
    glass_cubes The glass cube dive into the aquarium, which has a length of 25 cm, width 20 cm and height of 30 cm. Aquarium water rises by 2 cm. a) What is the volume of a cube? b) How many centimeters measure its edge?
  3. Cylinder
    valec Calculate the dimensions of rotating cylindrical container with volume 2 l, if height of container is equal to the diameter of the base.
  4. The largest
    cylinder_in_cube The largest possible cylinder was cut from a 20 cm cube. What is the volume of this cylinder?
  5. The edge of a cube
    cubes How much does the edge of a cube of 54.9 cm3 measure?
  6. Cube 7
    krychle_4 Calculate the volume of a cube, whose sum of the lengths of all edges is 276 cm.
  7. The volume 2
    cubes3_11 The volume of a cube is 27 cubic meters. Find the height of the cube.
  8. Edges or sides
    cube_shield_4 Calculate the cube volume, if the sum of the lengths of all sides is 276 cm.
  9. Cube walls
    cubes2_9 Find the volume and the surface area of the cube if the area of one of its walls is 40 cm2.
  10. The cylinder base
    valec_4 The cylinder with a base of 8 dm2 has a volume of 120 liters. From a cylinder fully filled with water, 40 liters of water was removed. At what height from the bottom /with precision to dm/ is the water level?
  11. The pot
    hrnec The pot is a cylinder with a volume of V = 7l and an inner diameter of d = 20cm. Find its depth.
  12. Bottle
    cylinder_11 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.
  13. A pipe
    pipe1_1 A radius of a cylindrical pipe is 2 ft. If the pipe is 17 ft long, what is its volume?
  14. 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?):
  15. 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?
  16. 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?
  17. Simplify 2
    expr Simplify expression: 5ab-7+3ba-9