Gravel - cone

Mound of gravel has shape of regular circular cone with a height 3.3 meter and a base circumference of 18.85 meters. How many cubic meters of gravel are in the pile? Calculate the weight of gravel if its density is p = 640 kg / cubic m.

Result

V =  31.103 m3
m =  19905.92 kg

Solution:

h=3.3 o=18.85 r=o/2/π=18.85/2/3.14163.0001 S=π r2=3.1416 3.0001228.2757 V=S h/3=28.2757 3.3/331.103231.103 m3h=3.3 \ \\ o=18.85 \ \\ r=o/2/\pi=18.85/2/3.1416 \doteq 3.0001 \ \\ S=\pi \cdot \ r^2=3.1416 \cdot \ 3.0001^2 \doteq 28.2757 \ \\ V=S \cdot \ h/3=28.2757 \cdot \ 3.3/3 \doteq 31.1032 \doteq 31.103 \ \text{m}^3
q=640 m=q V=640 31.1032=19905.92 kgq=640 \ \\ m=q \cdot \ V=640 \cdot \ 31.1032=19905.92 \ \text{kg}



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

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

Next similar math problems:

  1. Bottles of juice
    juice_cones How many 2-liter bottles of juice need to buy if you want to transfer juice to 50 pitchers rotary cone shape with a diameter of 24 cm and base side length of 1.5 dm.
  2. Castle model
    kuzel2 The castle model has a cone-shaped roof. The cone side is 45 cm long and the base radius is 27 cm. a) What is the roof volume? b) How many dm2 of wallpaper is used to glue the roof, ie the cone shell? c) What is the weight of the roof if it is made of wo
  3. Cone area and side
    cone_2 Calculate the surface area and volume of a rotating cone with a height of 1.25 dm and 17,8dm side.
  4. 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
  5. Ice cream in cone
    Ice-Cream-Cone In the ice cream cone with a diameter of 5.2 cm is 1.3 dl of ice cream. Calculate the depth of the cone.
  6. Truncated cone
    komoly_kuzel A truncated cone has a bases radiuses 40 cm and 10 cm and a height of 25 cm. Calculate its surface area and volume.
  7. Metal pyramid
    jehlan_5 Find the weight of a regular quadrilateral pyramid with a 5 cm length and 6,5 cm body height is made from material with density g/cm3.
  8. Barrel 4
    sudy Barrel of water weighs 63 kg. After off 75% water, the weight of the barrel with water is 21 kg. How many kg weigh empty barrel and how many kgs water in it?
  9. Persons
    ball1_6 Persons surveyed:100 with result: Volleyball=15% Baseball=9% Sepak Takraw=8% Pingpong=8% Basketball=60% Find the average how many like Basketball and Volleyball. Please show your solution.
  10. Water in vegetables
    rajciny Tomatoes in the store contain 99% water. After being transported to the shop, they were slightly dried and contained only 98% of water. How many kgs of tomatoes are in the store if there were 300 kg in stock?`
  11. Hollow sphere
    Xmas_ball Calculate the weight of a hollow tungsten sphere (density 19.3 g/cm3), if the inner diameter is 14 cm and wall thickness is 3 mm.
  12. Apple variete
    jablka This year, my uncle harvested 350 kg of apples, including 105 kilograms of Ontario, and the rest is Jonathan. Determine what percentage of the Jonathan apples.
  13. Collecting day
    smetiari_2 At collecting day at school pupils of three classes took total of 1063 kg of paper. Class B collected half more than A Class and class C 55 kg more than B. How many kg of paper collected each class?
  14. The gold coin
    minca The gold coin contains 900 per mille of pure gold. The coin weighs 950g. How much per mille is gold? How many grams are gold?
  15. Butter fat
    butter A quarter of kg butter contains 82% fat. How many grams of fat are in four cubes of butter?
  16. Lead cube
    pb_cube Calculate the edge of the cube made ​​from lead, which weighs 19 kg. The density of lead is 11341 kg/m3.
  17. Solid in water
    inwater The solid weighs in air 11.8 g and in water 10 g. Calculate the density of the solid.