Ratio + cylinder - practice problems
Number of problems found: 22
- Inscribed 6155
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. - Cone in cylinder
The cylinder is an inscribed cone. Find the ratio of the volume of the cone and cylinder. Please write the ratio as a decimal number and as a percentage. - Cylinder melted into cuboid
A circular cylinder has an area of cross-section 56cm², and the height is 10cm. The cylinder is melted into a cuboid with a base area of 16cm². What is the height of the cuboid? - Cylinder surface, volume
The area of the base and the area of the shell are in the ratio of 3:5. Its height is 5 cm less than the radius of the base. Calculate both surface area and volume. - Scale
The student drew the cylinder in scale 2:1. How many times is the volume of the cylinder smaller in reality? - Cylinder's 83130
Calculate the cylinder's volume if you know that the ratio of the cylinder's height to the base's radius is 3:2 and the height is 15 dm. - Lathe
Calculate the percentage of waste if the cube with 53 cm long edge is lathed to the cylinder with a maximum volume. - Lathe
From the cube of edge, 37 cm was a lathed maximum cylinder. What percentage of the cube is left as waste after being lathed? - 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. - Axial section
The axial section of the cylinder has a diagonal 40 cm. The shell size and base surface are in the ratio 3:2. Calculate the volume and surface area of this cylinder. - Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4 and the area of the cylinder jacket is 24 dm². - Calculation 81405
Sketch the mesh of a cylinder whose base radius to height ratio is 2 : 3. Calculate the volume and surface of the cylinder if its height is 9 cm (sketch, calculation, answer). - Cook on gas
The gas cylinder will last 30 weekends for 2 hours of daily cooking. How many days will we be able to cook on a new cylinder when we cook for 3 hours a day? - Cylinder-shaped 47311
Forty-eight liters of water are now in the vertical cylinder-shaped water tank. The water reaches a height of 27 cm. after an all-day downpour, water reaches a height of 72 cm. How much water will there be in the tank? - Ratio of volumes
If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes? - Axial section
The axial section of the cylinder has a diagonal 36 cm long, and we know that the area of the side and the base area is in ratio 1:1. Calculate the height and radius of the cylinder base. - Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot - Giant coin
From coinage, metal was produced into giant coins and applied so much metal, such as producing 10 million actual coins. What has this giant coin's diameter and thickness if the ratio of diameter to thickness is the same as an actual coin, which has a diam - Gutter
How much metal is needed to produce 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material. - Two bodies
The rectangle with dimensions 8 cm and 4 cm is rotated 360º first around the longer side to form the first body. Then, we similarly rotate the rectangle around the shorter side b to form a second body. Find the ratio of surfaces of the first and second bo
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