Solid geometry, stereometry - page 6 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
- A semi-circular
A semi-circular fishbowl is filled with water and has a diameter of 10 feet. What is the total water weight to the nearest pound in the tank if water weighs 62.5 pounds per cubic foot? - Cans
How many m² of metal sheet is needed to produce 20,000 cans in the shape of a cylinder with a base radius and a height of 5 cm? - Transported 43451
A sandpit on a playground is shaped like a circle with a diameter of 3 meters and a depth of 25cm. How many cubic meters of sand are needed? Determine the weight of the transported sand if 1 m³ of sand weighs 800 kg. - Cone-shaped 43291
Calculate the volume and weight of a pile of cone-shaped sand with a diameter of 8m and a height of v = 4.5m, the density of sand is 1500kg / M cubic
- The granite ball
What is the weight of a granite ball with a radius of 60 cm if 1 m³ of granite weighs 2.7 tons? - Block-shaped 42481
A block-shaped pool that is 25 m long, 12 m wide, and 180 cm deep is to be filled with draft so that the water level is 20 cm below the edge. How long will it take to fill the pool if we use 2 pumps, each with a "power" of 125 l/min? - Mike built
Mike built a cylindrical water tank with a radius of about 1.8 m and a height of 2 meters. How many liters of water will it hold? - Brass ball
What is the weight of a hollow brass ball, the outer diameter of which is 16 cm and the wall thickness is 2 cm, while the density of brass is ϱ = 8.5 g - The reservoir
The reservoir has the shape of a sphere with a diameter of 7.5 m. How many hectoliters can max fit in a reservoir?
- Calculate 40611
Calculate the surface and volume of a sphere with a radius of 3m. - Determine 40323
Determine the volume of the attic space 360 cm 620cm 450cm - Cubic inches to cups
5-3/8" x 4" x 2-5/8" container. How many equal cups? - Hemispherical 39681
What is the coverage area of the painting of a hemispherical dome with a diameter of 8 m? - Hectoliters 39141
The children's pool has the shape of a cylinder with a bottom diameter of 6 m and a height of 60 cm. The water reaches one decimeter below the top of the pool. How many hectoliters of water is in the pool?
- Cylindrical 38791
The cylindrical barrel is 1.2 m high, and the diameter of its base is 0.6 m. How many hectoliters of water will fit in the barrel? What is the smallest amount of sheet metal needed for its production? (we count both bases) - Calculate 37331
Calculate the weight of a cube with an edge length of 15 cm made of iron, / ρ = 7250 kg. M-3 / - Sand loading
The truck, with a load capacity of 7 tons, has a storage area of 4.5 m and 2.1 m. The weight of 1 m³ of wet sand is 2,000 kg. How high can we load the sand, so the car's load capacity is not exceeded? - Special body
Above each wall of a cube with an edge a = 30 cm, we construct a regular quadrilateral pyramid with a height of 15 cm. Find the volume of the resulting body. - Measuring 35931
How long does it take to fill a pool measuring 6x4x1m at a flow rate of Q = 0.2 dm³ / s?
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