Volume of cone

Find the volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm.

Result

V =  461.814 cm3

Solution:

h=9 cm r=7 cm  S=π r2=3.1416 72153.938 cm2 V=S h/3=153.938 9/3461.8141461.814 cm3h=9 \ \text{cm} \ \\ r=7 \ \text{cm} \ \\ \ \\ S=\pi \cdot \ r^2=3.1416 \cdot \ 7^2 \doteq 153.938 \ \text{cm}^2 \ \\ V=S \cdot \ h / 3=153.938 \cdot \ 9 / 3 \doteq 461.8141 \doteq 461.814 \ \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!
avatar




Tips to related online calculators
Tip: Our volume units converter will help you with the conversion of volume units.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Volume of the cone
    kuzel Find the volume of the cone with the base radius r and the height v. a) r = 6 cm, v = 8 cm b) r = 0,9 m, v = 2,3 m c) r = 1,4 dm, v = 30 dm
  2. Rotating cone
    cone Calculate volume of a rotating cone with base radius r=12 cm and height h=7 cm.
  3. Truncated cone
    truncated_cone Calculate the volume of a truncated cone with base radiuses r1=13 cm, r2 = 10 cm and height v = 8 cm.
  4. Rectangular prism
    kvader11_2 If i have a rectangular prism with a length of 1,000 cm, width of 30 cm and a height of 50 cm, what is the volume?
  5. Diameter of a cylinder
    cylinder I need to calculate the cylinder volume with a height of 50 cm and a diameter of 30 cm.
  6. Liquid
    valec How much liquid does the rotary cylinder tank hold with base diameter 1.2m and height 1.5m?
  7. Fire tank
    pool_3 How deep is the fire tank with the dimensions of the bottom 7m and 12m, when filled with 420 m3 of water?
  8. Volume of cube
    cubes2_1 Solve the volume of a cube with width 26cm .
  9. Cylindrical tank 2
    watertank_3 If a cylindrical tank with volume is used 12320cm raised to the power of 3 and base 28cm is used to store water. How many liters of water can it hold?
  10. Cube corners
    2cube The wooden cube with edge 64 cm was cut in 3 corners of cube with edge 4 cm. How many cubes of edge 4 cm can be even cut?
  11. The diagram
    cone_8 The diagram is a cone of radius 8cm and height 10cm. The diameter of the base is. ..
  12. 22/7 circle
    red_circle Calculate approximately area of a circle with radius 20 cm. When calculating π use 22/7.
  13. Circle area
    circle3 Calculate the circle area with a radius of 1.2 m.
  14. Circle - simple
    kruh The circumference of a circle is 930 mm. How long in mm is its diameter?
  15. Coal mine
    koleso The towing wheel has a diameter of 1.7 meters. How many meters does the elevator cage lower when the wheel turns 32 times?
  16. Bicycle wheel
    cyklo2_2 After driving 157 m bicycle wheel rotates 100 times. What is the radius of the wheel in cm?
  17. Clock hands
    clocks2_16 The second hand has a length of 1.5 cm. How long does the endpoint of this hand travel in one day?