Circular cone with height h = 29 dm and base radius r = 3 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane, if solids have the same volume.

Correct answer:

x =  23 dm

Step-by-step explanation:

 V=12V 13π(xrh)2x=16πr2x  x=29123=23 dm

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


Tips to related online calculators
Tip: Our volume units converter will help you with the conversion of volume units.

Related math problems and questions:

  • Rotary cone
    cone Rotary cone whose height is equal to the circumference of the base, has a volume 229 cm3. Calculate the radius of the base circle and height of the cone.
  • 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.
  • 2x cone
    truncated_cone Circular cone height 84 cm was cut plane parallel with base. Volume of these two small cones is the same. Calculate the height of the smaller cone.
  • Cylinder
    cylinder The cylinder surface is 922 dm2. Its height is equal to the radius of the base. Calculate the height of this cylinder.
  • Cone and cube
    shapes About what percentage hase cone with base radius r larger volume than same high cube with square base with edge length r?
  • Rotating cone
    kuzel Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm.
  • The volume
    kuzel2 The volume of the cone is 94.2dm³, the radius of the base is 6 dm Calculate the surface of the cone.
  • Cube 9
    MD_cheese_cubes What was the cube's original edge length after cutting 39 small cubes with an edge of 2 dm left 200 dm3?
  • The cone
    zrezany_kuzel The cone with a base radius of 12 cm and a height of 20 cm was truncated at a distance of 6 cm from the base, thus creating a truncated cone. Find the radius of the base of the truncated cone.
  • Cone
    cones Circular cone of height 15 cm and volume 5699 cm3 is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut.
  • Cone area and side
    cone Calculate the surface area and volume of a rotating cone with a height of 1.25 dm and 17,8dm side.
  • Prism
    3b_hranol Right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 13 cm, has the same volume as a cube with an edge length of 3 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube'
  • Triangular prism
    prism3 Calculate the volume and surface area of a triangular prism if it is given: a = 6.8 dm. ..Va = 4 dm. (base edge length and base triangle height length) ... ... .v = 23 dm (body height)
  • Volume and surface
    image001(1) Calculate the volume and surface area of the cylinder when the cylinder height and base diameter is in a ratio of 3:4 and the area of the cylinder jacket is 24 dm2.
  • Quadrilateral pyramid
    jehlan_4b_obdelnik The regular quadrilateral pyramid has a base edge a = 1.56 dm and a height h = 2.05 dm. Calculate: a) the deviation angle of the sidewall plane from the base plane b) deviation angle of the side edge from the plane of the base
  • Cube surface and volume
    cube_shield Find the surface of the cube with a volume of 27 dm3.
  • Cutting cone
    kuzel_zrezany A cone with a base radius of 10 cm and a height of 12 cm is given. At what height above the base should we divide it by a section parallel to the base so that the volumes of the two resulting bodies are the same? Express the result in cm.