Volume of the cone

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

Correct answer:

V1 =  301.5929 cm3
V2 =  1.9509 m3
V3 =  61.5752 dm3

Step-by-step explanation:

r1=6 cm v1=8 cm  V1=13 π r12 v1=13 3.1416 62 8=301.5929 cm3
r2=0.9 m v2=2.3 m  V2=13 π r22 v2=13 3.1416 0.92 2.3=1.9509 m3
r3=1.4 dm v3=30 dm  V3=13 π r32 v3=13 3.1416 1.42 30=61.5752 dm3

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.

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Volume of cone
    cone_church Find the volume of a right circular cone-shaped building with a height of 9 m and a radius base of 7 m.
  • 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.
  • The volume
    kuzel2 The volume of the rotating cone is 376.8cm³, the height of this cone is 1dm. Calculate the diameter of the cone base.
  • Cross-sections of a cone
    kuzel_rezy Cone with base radius 16 cm and height 11 cm divide by parallel planes to base into three bodies. The planes divide the height of the cone into three equal parts. Determine the volume ratio of the maximum and minimum of the resulting body.
  • The base 2
    cone The base diameter of a right cone is 16cm and it's slant height is 12cm. A. ) Find the perpendicular height of the cone to 1 decimal place. B. ) Find the volume of the cone, convert to 3 significant figure. Take pi =3.14
  • Rotating cone
    cone Calculate volume of a rotating cone with base radius r=12 cm and height h=7 cm.
  • Slant height
    cone The cone's slant height is 5cm, and the radius of its base is 3cm, find the volume of the 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.
  • 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.
  • Rotating cone
    kuzel2 The rotating cone has a base diameter of 18 dm and a height of 12 dm. Calculate the volume V.
  • Cone
    truncated_cone 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.
  • 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.
  • Truncated cone
    truncated_cone Calculate the volume of a truncated cone with base radiuses r1=13 cm, r2 = 10 cm and height v = 8 cm.
  • Special body
    cube_6pyramids Above each wall of a cube with an edge a = 30 cm, a regular quadrilateral pyramid with a height of 15 cm is constructed. Find the volume of the resulting body.
  • Frustum of a cone
    cone-frustrum A reservoir contains 28.54 m3 of water when full. The diameter of the upper base is 3.5 m, while at the lower base is 2.5 m. Find the height if the reservoir is in the form of a frustum of a right circular cone.
  • Two vases
    komolykuzel Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter d = 20 cm; the second vase has the shape of a truncated cone with the lower base d1 = 25 cm and with the diameter of the upper base d2 = 15 cm. Which vas
  • Metal tube
    pipe2 Calculate the metal tube mass 8dm long with the outer radius 5cm and the inner radius 4.5cm and 1cm3 of this metal is 9.5g.