Solid geometry, stereometry - page 19 of 115
Solid geometry is the name for the geometry of three-dimensional Euclidean space.Stereometry involves the measurements of volumes of various solid figures (three-dimensional figures), including pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres.
Number of problems found: 2283
- 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 19 m. How many m³ can hold in? - Ice cream in cone
The ice cream cone with a diameter of 5.6 cm is 0.5 dl of ice cream. Calculate the depth of the cone. - Cone
If the segment of the line y = -3x +4 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 5 cm, we cut off all vertices so that each cutting plane intersects the edges 1 cm from the nearest vertice. How many edges will this body have? - Cube corners
Peter cut the wooden cube with edge 64 cm in 3 corners of the cube with edge 4 cm. How many cubes of edge 4 cm can Peter even be cut? - Trunk
Calculate the length of the biggest fishing rod that can be inserted into the trunk of a car with dimensions 165 x 99 × 85 cm. - Rotating cone
Calculate the volume of a rotating cone with base radius r=$r cm and height h=$v cm. - Kitchen
The kitchen roller has a diameter of 70 mm and a width of 359 mm. How many square millimeters roll on one turn? - 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 129 m of hot water pipelines 5/8" and the hot water has a price of 7 Eur/m³. - Truncated cone
Calculate the volume of a truncated cone with base radiuses r1=13 cm, r2 = 10 cm, and height v = 8 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? - Aquarium II
Calculate how much glass we need to build an aquarium with a rectangular shape with a base 70 cm × 70 cm and a height of 70 cm, if the waste is 2%. The aquarium hasn't top glass. - Copper plate
Copperplate length 3.2 m and width 50 cm weigh 55.42 kg. What is the plate thickness if 1 m³ of copper weighs about 8700 kg? - Aquarium
An aquarium is a rectangular box with a square base containing 76 liters of water. The length of the base edge is 42 cm. To what height does the water level rise? - 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 - Should 27591
How many liters of water must be poured into a pool 25m long, 800cm wide, and 20m deep? The pool should be filled to 3/4 of its depth. How many euros will you pay for pool tiling, and a square meter of tiling costs 20 euros? - 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
Do you have homework that you need help solving? Ask a question, and we will try to solve it.