Cone area and side

Calculate the surface area and volume of a rotating cone with a height of 1.25 dm and 17,8dm side.

Result

S =  1983.398 dm2
V =  412.697 l

Solution:

h=1.25 s=17.8 r=s2h2=17.821.25217.7561 S1=π r2=3.1416 17.75612990.4735 S=S1+π r s=990.4735+3.1416 17.7561 17.81983.39831983.398 dm2h=1.25 \ \\ s=17.8 \ \\ r=\sqrt{ s^2-h^2 }=\sqrt{ 17.8^2-1.25^2 } \doteq 17.7561 \ \\ S_{1}=\pi \cdot \ r^2=3.1416 \cdot \ 17.7561^2 \doteq 990.4735 \ \\ S=S_{1} + \pi \cdot \ r \cdot \ s=990.4735 + 3.1416 \cdot \ 17.7561 \cdot \ 17.8 \doteq 1983.3983 \doteq 1983.398 \ \text{dm}^2
V=S1 h/3=990.4735 1.25/3412.6973412.697 lV=S_{1} \cdot \ h/3=990.4735 \cdot \ 1.25/3 \doteq 412.6973 \doteq 412.697 \ \text{l}



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.

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

Next similar math problems:

  1. 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
  2. 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.
  3. Surface area
    cone_slice The volume of a cone is 1000 cm3 and the content area of the axis cut is 100 cm2. Calculate the surface area of the cone.
  4. 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.
  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. 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
  7. Cylinder surface area
    cylinder_2 Volume of a cylinder whose height is equal to the radius of the base is 678.5 dm3. Calculate its surface area.
  8. Cube volume
    cube6 The cube has a surface of 384 cm2. Calculate its volume.
  9. Cube 1-2-3
    cube_shield_1 Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all edges of the cube is 30 cm.
  10. Fit ball
    fitball What is the size of the surface of Gymball (FIT - ball) with a diameter of 65 cm?
  11. Juice box 2
    pfanner-ananas Box with juice has the shape of a cuboid. Internal dimensions are 15 cm, 20 cm and 32 cm. If the box stay at the smallest base juice level reaches 4 cm below the upper base. How much internal volume of the box fills juice? How many cm below the top of th
  12. Three glasses
    skleniceRGB Three glasses of different colors have different volumes. Red 1.5 liter is filled from 2/5, blue 3/4 liter is filled from 1/3, and the third green 1.2 liter is empty. Pour green glass 1/4 of the contents from the red glass and 2/5 of the content from the
  13. Water well
    studna Drilled well has a depth 20 meters and 0.1 meters radius. How many liters of water can fit into the well?
  14. 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.
  15. The ball
    ball1_4 The ball was discounted by 10 percent and then again by 30 percent. How many percent of the original price is now?
  16. Equations - simple
    linearna_1 Solve system of linear equations: x-2y=6 3x+2y=4
  17. Mushrooms
    huby_2 Eva and Jane collected 114 mushrooms together. Eve found twice as much as Jane. How many mushrooms found each of them?