Cylinder + cube - practice problems
Number of problems found: 29
- Juice-soaked 17173
1. Find the dimensions of a 5-liter cylindrical container if the height of the container is equal to the radius of the base. 2. There is three dl of juice in a cylindrical glass with an inner diameter of 8 cm. Calculate the area of the juice-soaked port - Three-quarters 47331
A cylindrical container is three-quarters full with six liters of water. We dip a cube-shaped body into the container, which sinks to the bottom. The length of the edge of the cube is 13 cm. Decide what happens to the sink after the cube is dipped. - A metal
A metal cylinder is inserted into the cube with a 20 cm edge so that the cylinder shell. Its two bases are in close contact with the cube's walls from the inside. How much water could be poured into the free space between the cube and the cylinder so that - Hole
We will drill the cylinder shape hole in the cube's center with an edge 14 cm. The volume of the hole must be 27% of the cube. What should drill diameter be chosen? - Cylinder in cube
Into a paper box in the shape of a cube with an edge of 10 cm is placed a can in the shape of a cylinder with a height of 10 cm and touching all the walls of the cube. What % of the volume of the cube can take up? - Percentage 61594
Calculate the percentage of the cube volume that represents the volume of the cylinder inscribed in the cube. The cylinder's bases are circles inscribed on two opposite walls of the cube with an edge a = 14 cm. - Deciliters 66324
We placed the largest possible lead cylinder in a 1-liter cube container. How many deciliters of water will now fit in the container? - 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? - Rollers 40841
Two rollers weigh the same as three dice. One roller with two dice weighs the same as three with a weight of 250 grams. How many grams does the roller weigh, and how many dice? - Lathe
Calculate the percentage of waste if the cube with 53 cm long edge is lathed to the cylinder with a maximum volume. - 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. - Percentage 24931
There is a cylinder with the largest possible volume in the cube with an edge of 6 m. What percentage of the volume of a cube has the volume of a cylinder? - The cube
The cube and cylinder weigh the same as three 20-gram weights. Three cubes and one cylinder weigh the same as two cylinders and one cube. How many grams does one cube weigh (and one cylinder)? - Surface of the cylinder
Calculate the surface area of the cylinder when its volume is 45 l, and the base's perimeter is three times the height. - Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³. - The largest
We cut the largest possible cylinder from a 20 cm cube. What is the volume of this cylinder? - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder. - Cube into cylinder
If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge? - Cylindrical 5890
A cylindrical mug is packed in a 1-liter cube paper box. The mug is in close contact with all the walls of the cube. What volume is my mug? - Surrounded 8283
The cube has an edge length of 5 cm. This cube surrounds a rotating cylinder. Find the surface area of the shell and the volume of the cylinder.
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