Solid geometry, stereometry - page 17 of 121
Number of problems found: 2404
- Water level
How high is the water in the cylindrical barrel with a diameter of 12 cm if there is a liter of water? Express in cm with an accuracy of 1 decimal place. - Garden pool
Mr. Novak fills the garden pool (cylinder; diameter of 200 cm) with 31.4 hl of water. What is the depth of the pool when the water level is 10 cm below the upper edge of the pool? - Tank
The tank bottom has dimensions of 1.5 m and 4 1/2 m. The tank is 379 hl of water. How high is the water surface? - Total displacement
Calculate the total displacement of the 12-cylinder engine with the diameter of the piston bore B = 8.9 cm and stroke S=1.9 cm of the piston. Help: The crankshaft makes one revolution while the piston moves from the top of the cylinder to the bottom and b - Gasholder
The gasholder has a spherical shape with a diameter of 26 m. How many cubic meters (m³) can hold in? - Cone
If the segment of the line y = -2x +3 that lies in the first quadrant is rotated about the y-axis, a cone is formed. What is the volume of the cone? - Cubes
Cube, which consists of 8 small cubes with edge 1 dm, has volume: - Cube corners
From the cube of edge 24 cm, we cut off all vertices so that each cutting plane intersects the edges 2 cm from the nearest vertice. How many edges will this body have? - Cube corners
Peter cut the wooden cube with edge 100 cm in 2 corners of the cube with edge 5 cm. How many cubes of edge 5 cm can Peter even be cut? - Rotating cone
Calculate the volume of a rotating cone with base radius r=18 cm and height h=20 cm. - Conserving water
Calculate how many euros are spent annually on unnecessary domestic hot water, which cools during the night in the pipeline. The residential house has 223 m of hot water pipelines 1" and the hot water has a price of 14.6 Eur/m³. - Truncated cone
Calculate the volume of a truncated cone with base radiuses r1=19 cm, r2 = 11 cm, and height v = 5 cm. - Copper sheet
The copper plate has a length of 2.2 m, width 92 cm, and weighs 5.6 kg. What is the plate thickness if 1 m³ weighs 8732 kg? - Copper plate
Copperplate length 9 m and width 56 cm weigh 48.38 kg. What is the plate thickness if 1 m³ of copper weighs about 8700 kg? - Container
The container has a cylindrical shape, the base diameter is 0.8 m, and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container? - Wooden bowls
Twenty wooden bowls in the shape of a truncated cone should be painted on the outside and inside with wood varnish. We need 0.1 l of paint to paint 200 cm². How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has - A cylindrical tank
A cylindrical tank can hold 44 cubic meters of water. If the radius of the tank is 3.5 meters, how high is the tank? - Dimensions 5143
Mr. Winter is building a fence from perforated brick elements in the shape of a cuboid with dimensions of 15 cm, 15 cm, and 20 cm. the fence will be 15 cm wide, 150 cm high, and 10 m long. The mortar space will occupy 0.25 m³. How many brick elements does - Water tank
The water tank-shaped cuboid has a width of 2.3 m and a length twice as large. If water flows into 19 liters of water per second during 52 minutes, how high will it reach? - Toothpaste 80763
Little Jirka wanted to know how much toothpaste was in the tube, so he gradually squeezed it all out and there was a cylinder of toothpaste in the room. Can you guess how long it might have been? Calculate the values: the internal diameter of the paste ne
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