The right triangle with legs 11 cm and 18 cm rotate around the longer leg.

Calculate the volume and surface area of the formed cone.


S =  1109.124 cm2
V =  2280.796 cm3


a=11 cm b=18 cm b>a  r=a=11 cm s=a2+b2=112+182445 cm21.095 cm  S1=π r2=3.1416 112380.1327 cm2 S2=π r s=3.1416 11 21.095728.9917 cm2 S=S1+S2=380.1327+728.99171109.12441109.124 cm2a=11 \ \text{cm} \ \\ b=18 \ \text{cm} \ \\ b>a \ \\ \ \\ r=a=11 \ \text{cm} \ \\ s=\sqrt{ a^2+b^2 }=\sqrt{ 11^2+18^2 } \doteq \sqrt{ 445 } \ \text{cm} \doteq 21.095 \ \text{cm} \ \\ \ \\ S_{1}=\pi \cdot \ r^2=3.1416 \cdot \ 11^2 \doteq 380.1327 \ \text{cm}^2 \ \\ S_{2}=\pi \cdot \ r \cdot \ s=3.1416 \cdot \ 11 \cdot \ 21.095 \doteq 728.9917 \ \text{cm}^2 \ \\ S=S_{1} + S_{2}=380.1327 + 728.9917 \doteq 1109.1244 \doteq 1109.124 \ \text{cm}^2
V=13 S1 b=13 380.1327 182280.79632280.796 cm3V=\dfrac{ 1 }{ 3 } \cdot \ S_{1} \cdot \ b=\dfrac{ 1 }{ 3 } \cdot \ 380.1327 \cdot \ 18 \doteq 2280.7963 \doteq 2280.796 \ \text{cm}^3

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!

Tips to related online calculators
Tip: Our volume units converter will help you with the conversion of volume units.
See also our right triangle calculator.
See also our trigonometric triangle calculator.



Next similar math problems:

  1. 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.
  2. Triangle TBC
    isosceles_triangle TBC is isosceles triangle with base TB with base angle 63° and legs length |TC| = |BC| = 25. How long is the base TB?
  3. Triangular prism
    hranol_5 The perpendicular triangular prism is a right triangle with a 5 cm leg. The content of the largest wall of the prism is 130 cm2 and the body height is 10 cm. Calculate the body volume.
  4. Triangle ABC
    ABC Right triangle ABC with right angle at the C, |BC|=18, |AB|=33. Calculate the height of the triangle hAB to the side AB.
  5. Axial section
    cone2 Axial section of the cone is an equilateral triangle with area 168 cm2. Calculate the volume of the cone.
  6. Ladder
    rebrik33_4 Adam placed the ladder of the house, the upper end reaching to the window at the height of 3.6m, and the lower end standing on level ground and was distant from a wall of 1.5m. What is the length of the ladder?
  7. Cone area and side
    cone_2 Calculate the surface area and volume of a rotating cone with a height of 1.25 dm and 17,8dm side.
  8. Center traverse
    trianles It is true that the middle traverse bisects the triangle?
  9. Octahedron
    octahedron All walls of regular octahedron are identical equilateral triangles. ABCDEF octahedron edges have a length d = 6 cm. Calculate the surface area and volume of this octahedron.
  10. Bottles of juice
    juice_cones How many 2-liter bottles of juice need to buy if you want to transfer juice to 50 pitchers rotary cone shape with a diameter of 24 cm and base side length of 1.5 dm.
  11. Ice cream in cone
    Ice-Cream-Cone In the ice cream cone with a diameter of 5.7 cm is 0.8 dl of ice cream. Calculate the depth of the cone.
  12. Calculation
    pocty How much is sum of square root of six and the square root of 225?
  13. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  14. Square roots
    roots What is equal to the product of the square roots of 295936?
  15. Surface area
    cone_slice The volume of a cone is 1000 cm3 and the content area of the axis cut is 100 cm2. Calculate the surface area of the cone.
  16. Truncated cone
    komoly_kuzel A truncated cone has a bases radiuses 40 cm and 10 cm and a height of 25 cm. Calculate its surface area and volume.
  17. Root
    sq_root Use law of square roots roots: ?