A cylinder with a height equal to half the height of the cone is inscribed in the rotating cone. Find the volume ratio of both bodies.
Did you find an error or inaccuracy? Feel free to write us. Thank you!
Thank you for submitting an example text correction or rephasing. We will review the example in a short time and work on the publish it.
Tips for related online calculators
You need to know the following knowledge to solve this word math problem:
Related math problems and questions:
- Equilateral cylinder
A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface half larger than an inscribed sphere.
Into rotating cone with dimensions r = 8 cm and h = 8 cm is an inscribed cylinder with maximum volume so that the cylinder axis is perpendicular to the cone's axis. Determine the dimensions of the cylinder.
- Rotary bodies
The rotating cone and the rotary cylinder have the same volume of 180 cm³ and the same height, v = 15 cm. Which of these two bodies has a larger surface area?
- Cross-sections of a cone
Cone with base radius 16 cm and height 11 cm divided by parallel planes to base into three bodies. The planes divide the height of the cone into three equal parts. Determine the volume ratio of the maximum and minimum of the resulting body.
- Rotating cone
Calculate the volume of a rotating cone with base radius r=12 cm and height h=7 cm.
- Volume ratio
Calculate the volume ratio of balls circumscribed (diameter r) and inscribed (diameter ϱ) into an equilateral rotating cone.
- Cone in cylinder
The cylinder is an inscribed cone. Determine the ratio of the volume of the cone and cylinder. Please write the ratio as a decimal number and as a percentage.
- The truncated
The truncated rotating cone has bases with radii r1 = 8 cm, r2 = 4 cm and height v = 5 cm. What is the volume of the cone from which the truncated cone originated?
- Rotating 28001
There is a rotating cone: r = 6.8 cm s = 14.4 cm. Find the area of the cone surface S2, the height h, and the volume V.
- Cylinder 47923
The tank has the shape of a rotating cylinder with a base diameter d = 3.4 m and a height of 4.5 m. How many liters of water are in the tank if the tank is filled to 2/3?
- Tin with oil
Tin with oil has the shape of a rotating cylinder whose height is equal to the diameter of its base. The canned surface is 1884 cm². Calculate how many liters of oil are in the tin.
- Dimensions 70354
The volume of the cylinder is 5l, and the height is equal to half the diameter of the base. Find the dimensions of the cylinder.
- Cone area and side
Calculate a rotating cone's surface area and volume with a height of 1.25 dm and 17,8dm side.
- Calculate 5789
Calculate the volume and surface of the rotating cone with the base radius r = 4.6dm and the height v = 230mm.
- The surface
The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm². Find the radii of the bases when their difference in lengths is 10cm.
- Truncated cone 3
The surface of the truncated rotating cone S = 7697 meters square, the substructure diameter is 56m and 42m, find the height of the tang.
- Rotating cone II
Calculate the area of the surface of a rotating cone with base radius r=19 cm and height h=9 cm.