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

We will be pleased if You send us any improvements to this math problem. 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:

  • Four prisms
    hranol4b Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm2 b) 300 cm2 c) 3000 cm3 d) 300 cm3 Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t
  • Basic form
    time Expressed the ratios of values in the basic form: 0,5 t : 1,2 kg 200 l : 0,15 m3 12 t : 3600 kg 500 kg : 2,5 t 0,9 kg : 500 g 3,6 m : 240 cm 1200 mm : 2,4 m 300 l : 0,3 m3 6 min 30 s : 900 s
  • Two cuboids
    cuboid Find the volume of cuboidal box whose one edge is: a) 1.4m and b) 2.1dm
  • Volume of cone
    cone_church Find the volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm.
  • Prism 4 sides
    kvader11 Find the surface area and volume four-sided prism high 10cm if its base is a rectangle measuring 8 cm and 1.2dm
  • Rectangle 39
    rectnagles Find the perimeter and area of the rectangular with vertices (-1, 4), (0,4), (0, -1), and (-4, 4)
  • Hexaprism container
    hexagonprism Calculate the volume and surface in the shape of a regular hexagonal prism with a height of 1.4 m with a base edge of 3dm and a corresponding height of 2.6 dm.
  • 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.
  • Is right triangle
    rt_triangle Find out if the triangle ABC (with right angle at the vertex C) is right if: a) a = 3dm, b = 40cm, c = 0.5m b) a = 8dm, b = 1.2m, c = 6dm
  • The glass
    glass 1 m3 of glass weighs 2600 kg. Calculate the weight of the glass glazing panel with dimensions of 2.5 m and 3.8 m if the thickness of the glass is 0.8 cm
  • Equation
    eq Solve equation and check the result: 1.4x - 3/2 + x - 9,8 = x + 0,4/3 - 7 + 1,6/6
  • The quadrilateral pyramid
    jehlan_4b_obdelnik The quadrilateral pyramid has a rectangular base of 24 cm x 3.2dm and a body height of 0.4m. Calculate its volume and surface area.
  • Percentages
    percents2 Calculate the percentages to two decimal places: a / 15 min in 4 hours B / 35 cm2 of 12.5 dm2 c / 2dm2 of 400 cm2 D / 0.2 liters from 2.2 liters
  • Shell of cylinder
    cylinder Calculate the content of shell the 1.6 m height cylinder with a base radius of 0.4 m.
  • Square prism
    lichob Calculate the volume of a foursided prism 2 dm high, the base is a trapezoid with bases 12 cm, 6 cm, height of 4 cm and 5 cm long arms.
  • Cube containers
    cubes3 Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one so that it has the same volume as the two original ones together. What is the length of the edge of this cube?
  • Trapezoidal prism
    lich_hranol Calculate the volume of a prism with a trapezoidal base with side a = 6dm, side c = 4 dm, height of the prism = 8dm. The height of the trapezoid is va = 3dm.