Angle of deviation

The surface of the rotating cone is 30 cm2 (with circle base), its surface area is 20 cm2. Calculate the deviation of the side of this cone from the plane of the base.

Correct answer:

A =  60 °

Step-by-step explanation:

S1=30 cm2 S2=20 cm2 S1=S2+πr2 r=(S1S2)/π=(3020)/3.14161.7841 cm S2=πrs s=S2/(π r)=20/(3.1416 1.7841)3.5682 cosA=r/s A=180°πarccos(r/s)=180°πarccos(1.7841/3.5682)=60°=60°

Try calculation via our triangle calculator.




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



avatar







Tips to related online calculators
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 cone
    cone The lateral surface area of the cone is 4 cm2, the area of the base of the cone is 2 cm2. Determine the angle in degrees (deviation) of the cone sine and the cone base plane. (Cone side is the segment joining the vertex cone with any point of the base c
  • Cone side
    kuzel3 Calculate the volume and area of the cone whose height is 10 cm and the axial section of the cone has an angle of 30 degrees between height and the cone side.
  • Tetrahedral pyramid
    ihlan Determine the surface of a regular tetrahedral pyramid when its volume is V = 120 and the angle of the sidewall with the base plane is α = 42° 30'.
  • Tetrahedral pyramid
    pyramid_4s Calculate the regular tetrahedral pyramid's volume and surface if the content area of the base is 20 cm2, and the deviation angle of the side edges from the plane of the base is 60 degrees.
  • 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°.
  • Pyramid 8
    ihlan Calculate the volume and the surface area of a regular quadrangular pyramid with the base side 9 cm and side wall with the base has an angle 75°.
  • 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.
  • 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.
  • Rotary cone
    cone The volume of the rotation of the cone is 472 cm3, and the angle between the side of the cone and the base angle is 70°. Calculate the lateral surface area of this cone.
  • 30-gon
    30gon At a regular 30-gon the radius of the inscribed circle is 15cm. Find the "a" side size, circle radius "R", circumference, and content area.
  • Cone
    valec The rotating cone volume is 9.42 cm3, with a height 10 cm. What angle is between the side of the cone and its base?
  • Triangle ABC v2
    triangles Area of the triangle is 12 cm square. Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x.
  • Square pyramid
    pyramid Calculate the pyramid's volume with the side 5cm long and with a square base, side-base has an angle of 60 degrees.
  • 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.
  • Pyramid - angle
    pyramid Calculate the regular quadrangular pyramid's surface whose base edge measured 6 cm, and the deviation from the plane of the base's sidewall plane is 50 degrees.
  • Hexagonal pyramid
    hexa_pyramid Calculate the surface area of a regular hexagonal pyramid with a base inscribed in a circle with a radius of 8 cm and a height of 20 cm.