Cylinder + cube - math problems
Number of problems found: 14
- Mike chose
Mike chose 4 identical cubes, 3 identical prisms and 2 identical cylinders from the kit. The edge of the cube is 3 cm long. The prism has two dimensions the same as the cube, its third dimension is 2 times longer. The diameter of the base of the cylinder
Karolína chose 5 bodies from the kit - white, blue and gray cubes, a blue cylinder and a white triangular prism. How many different roof towers can be built one by one if all the blue bodies (cube and cylinder) are not placed on top of each other?
- 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?
- 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)?
- The largest
We cut the largest possible cylinder from a 20 cm cube. What is the volume of this 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?
- Surface area of cylinder
Determine the lateral surface of the rotary cylinder which is circumscribed cube with edge length 5 cm.
Calculate the percentage of waste if the cube with 53 cm long edge is lathed to cylinder with a maximum volume.
- Equilateral cylinder
Equilateral cylinder (height = base diameter; h = 2r) has a volume of V = 199 cm3 . Calculate the surface area of the cylinder.
- Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of cylinder if its volume is 2 m3.
- Surface of the cylinder
Calculate the surface area of the cylinder when its volume is 45 l and the perimeter of base is three times of the height.
From the cube of edge, 37 cm was a lathed maximum cylinder. What percentage of the cube is left as waste after lathed?
In the center of the cube with edge 14 cm we will drill cylinder shape hole. Volume of the hole must be 27% of the cube. What drill diameter should be chosen?
Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height is equal to the base's diameter.
Cylinder Problems. Cube Problems.