Slant height

The cone's slant height is 5cm, and the radius of its base is 3cm, find the volume of the cone.

Correct answer:

V =  37.6991 cm3

Step-by-step explanation:

s=5 cm r=3 cm  h=s2r2=5232=4 cm  S1=π r2=3.1416 3228.2743 cm2 V=13 S1 h=13 28.2743 4=37.6991 cm3

Try calculation via our triangle calculator.

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.
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions:

  • 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
  • The diagram 2
    cone The diagram shows a cone with slant height 10.5cm. If the curved surface area of the cone is 115.5 cm2. Calculate correct to 3 significant figures: *Base Radius *Height *Volume of the cone
  • Isosceles + prism
    rr_triangle3 Calculate the volume of the perpendicular prism if its height is 17.5 cm and the base is an isosceles triangle with a base length of 5.8 cm and an arm length of 3.7 cm
  • Cone - from volume surface area
    kuzel_rs The volume of the rotating cone is 1,018.87 dm3, and its height is 120 cm. What is the surface area of the cone?
  • Lateral surface area
    kuzel2 The ratio of the area of the base of the rotary cone to its lateral surface area is 3: 5. Calculate the surface and volume of the cone, if its height v = 4 cm.
  • Surface of the cone
    kuzel3 Calculate the surface of the cone if its height is 8 cm and the volume is 301.44 cm3.
  • Rotating cone
    kuzel2 Find the rotating cone's surface and volume if its side is 150 mm long and the circumference of the base is 43.96 cm.
  • Cone
    r_h_cone Calculate the volume of the rotating cone with a base radius 26.3 cm and a side 38.4 cm long.
  • Truncated cone 5
    truncated_cone The height of a cone 7 cm and the length of side is 10 cm and the lower radius is 3cm. What could the possible answer for the upper radius of truncated cone?
  • Cone 15
    cone The radius of the base of a right circular cone is 14 inches and it's height 18 inches. What is the slant height?
  • Cone and the ratio
    kuzel The rotational cone has a height 43 cm, and the ratio of the base surface to lateral surface is 5: 7. Calculate the surface of the base and the lateral surface.
  • 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.
  • Right triangle
    rt_triangle A circle with a radius of 5 cm is described in a right triangle with a 6 cm leg. What is the height at the hypotenuse of this triangle?
  • Volume of the cone
    kuzel2 Calculate the volume of the cone if the content of its base is 78.5 cm2 and the content of the shell is 219.8 cm2.
  • Frustrum - volume, area
    frustum-of-a-right-circular-cone Calculate the surface and volume of the truncated cone, the radius of the smaller figure is 4 cm, the height of the cone is 4 cm and the side of the truncated cone is 5 cm.
  • Truncated cone
    zrezany_kuzel Find the volume and surface area of the truncated cone if r1 = 12 cm, r2 = 5 cm and side s = 10 cm.
  • Find the
    ihlan Find the surface area of a regular quadrilateral pyramid which has a volume of 24 dm3 and a height of 45 cm.