The volume

The volume of the cone is 94.2dm³, the radius of the base is 6 dm Calculate the surface of the cone.

Correct result:

S =  235.6103 dm2

Solution:

V=94.2 dm3 r=6 dm  S1=π⋅ r2=3.1416⋅ 62≐113.0973 dm2  V=S13⋅ h  h=3⋅ V/S1=3⋅ 94.2/113.0973≐2.4987 dm  s=h2+r2=2.49872+62≐6.4995 dm  S2=π⋅ r⋅ s=3.1416⋅ 6⋅ 6.4995≐122.5129 dm2  S=S1+S2=113.0973+122.5129=235.6103 dm2

Try another example


We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 0 comments:
avatar




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.

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   video2

Related math problems and questions:

  • Rotating cone
    kuzel_3 Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm.
  • Cone - from volume surface area
    kuzel_rs The volume of the rotating cone is 1,018.87 dm3, its height is 120 cm. What is the surface area of the cone?
  • The rotating
    kuzel3 The rotating cone has a height of 0.9 m and the diameter of the base is 7.2 dm. Calculate the surface of the cone. (Hint: use Pythagorean theorem for a side of cone)
  • Prism
    hranol4sreg_1 Calculate the height of the prism having a surface area 448.88 dm² wherein the base is square with a side of 6.2 dm. What will be its volume in hectoliters?
  • The cone - S,V
    kuzel Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm.
  • Calculate
    kuzel3 Calculate the surface and volume of the cone that results from the rotation of the right triangle ABC with the squares 6 cm and 9 cm long around the shorter squeegee.
  • 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
  • Surface of the cone
    kuzel3 Calculate the surface of the cone if its height is 8 cm and the volume is 301.44 cm3.
  • Cone A2V
    popcorn The surface of the cone in the plane is a circular arc with central angle of 126° and area 415 cm2. Calculate the volume of a cone.
  • 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)
  • 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.
  • Rotating cone
    kuzel2 Find the surface and volume of the rotating cone if its side is 150 mm long and the circumference of the base is 43.96 cm.
  • Hexagonal pyramid
    jehlan_6 Regular hexagonal pyramid has dimensions: length edge of the base a = 1.8 dm and the height of the pyramid = 2.4 dm. Calculate the surface area and volume of a pyramid.
  • Cone and the ratio
    kuzel Rotational cone has a height 23 cm and the ratio of the base surface to lateral surface is 7: 9. Calculate a surface of the base and the lateral surface.
  • Cone
    cone-blue Calculate volume and surface area of ​​the cone with a diameter of the base d=15 cm and side of the cone with the base has angle 52°.
  • Slant height
    cone_10 The cone's slant height is 5cm, and the radius of its base is 3cm, find the volume of the cone.
  • 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 pie =3.14