Funnel

The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water.

Correct answer:

S =  15.6 dm2

Step-by-step explanation:

h2=4r2r2 h=3r  V=13πr2h=13π3r3=7.1 l=7.1 dm3 r=37.1π3=1.58 dm  S=πrs=πr2r=2πr2 S=2π1.582=15.6 dm2



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



avatar







Tips to related online calculators
See also our trigonometric triangle calculator.

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:

  • The funnel
    kuzel_rs The funnel has the shape of an equilateral cone. Calculate the content of the area wetted with water if you pour 3 liters of water into the funnel.
  • Cube 6
    water_cube The surface area of one wall cube is 1600 cm square. How many liters of water can fit into the cube?
  • Right circular cone
    cut-cone The volume of a right circular cone is 5 liters. Calculate the volume of the two parts into which the cone is divided by a plane parallel to the base, one-third of the way down from the vertex to the base.
  • Equilateral cylinder
    3d Equilateral cylinder (height = base diameter; h = 2r) has a volume of V = 199 cm3 . Calculate the surface area of the cylinder.
  • Axial section
    cone2 The axial section of the cone is an equilateral triangle with area 168 cm2. Calculate the volume of the cone.
  • Big cube
    cubes Calculate the surface of the cube, which is composed of 64 small cubes with an edge 1 cm long.
  • Cube-shaped box
    milk The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box.
  • Cube and water
    krychle How many liters of water can fit into a cube with an edge length of 0.11 m?
  • Calculate 3
    cube_sphere_in Calculate the cube volume whose edge is 3x-1,3x-1,3x-1
  • Equilateral cone
    kuzel_rs We pour so much water into a container that has the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down?
  • Cube into cylinder
    cube_sphere_in 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?
  • Chemical parison
    banka The blown parison (with shape of a sphere) have a volume 1.5 liters. What is its surface?
  • Cube
    cubes One cube has an edge increased five times. How many times will larger it's surface area and volume?
  • Cube surfce2volume
    cube_shield Calculate the volume of the cube if its surface is 150 cm2.
  • Cylinder - area
    valec The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of cylinder if its volume is 2 m3.
  • Tereza
    cube The cube has an area of base 256 mm2. Calculate the edge length, volume, and area of its surface.
  • The cube
    cubes The cube has a surface area of 486 m ^ 2. Calculate its volume.