Rotating cone II

Calculate area of surface of rotating cone with base radius r=19 cm and height h=9 cm.

Correct result:

S =  23.89 dm²

Solution:

$$\begin{gathered} S=S_1+S_2=\pi \cdot 19^2+\pi \cdot 19\cdot \sqrt{9^2+19^2} \\ S=2389.031c{m}^2=23.89{\text{dm}}^2 \end{gathered}$$

Try another example

Showing 0 comments:

Related math problems and questions:

• Rotating cone
  Calculate volume of a rotating cone with base radius r=12 cm and height h=7 cm.
• Area of the cone
  Calculate the surface area of the cone, you know the base diameter 25 cm and a height 40 cm.
• Rotating cone
  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 and the ratio
  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.
• The rotating
  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)
• Cone
  Calculate the volume of the rotating cone with a base radius 26.3 cm and a side 38.4 cm long.
• Lamp cone
  Calculate the surface of a lamp shade shaped of a rotary truncated cone with base diameter 32 cm and 12 cm and height 24 cm.
• Cone - from volume surface area
  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 cone - S,V
  Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm.
• Rotating cone
  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.
• Pyramid a+h
  Calculate the volume and surface area of the pyramid on the edge and height a = 26 cm. h = 3 dm.
• Cone
  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°.
• 3sides prism
  The base of vertical prism is an isosceles triangle whose base is 10 cm and the arm is 13 cm long. Prism height is three times the height of base triangle. Calculate the surface area of the prism.
• Cone - side
  Find the surface area and volume of the cone if its height is 125 mm and the side length is 17 cm.
• Sphere - parts
  Calculate the area of a spherical cap, which is part of an area with base radius ρ = 9 cm and a height v = 3.1 cm.
• Surface of the cone
  Calculate the surface of the cone if its height is 8 cm and the volume is 301.44 cm³.
• Hexagonal 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.