Solid geometry, stereometry - page 5 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
- Water cylinder
Zuzana poured 785 ml of water into a measuring cylinder with a base radius of 5 cm. The water in the cylinder reached a height of 2 cm from the upper edge. How tall is the cylinder? (π = 3.14) - Calculate 47933
Calculate the weight of the steel roller if d = 2.4 cm, height v = 5.6 cm, density ρ = 8 g / cm³. - Cylinder 47923
The tank has the shape of a rotating cylinder with a base diameter d = 3.4 m and a height of 4.5 m. How many liters of water are in the tank if the tank is filled to 2/3? - Calculate 47773
Calculate the volume of a cube whose surface is 15,000 cm². Express the result in liters.
- Half-filled 47753
The shaped container with a bottom diameter of 25 cm and a height of 30 cm is half-filled with oil. How many liters of oil are in the container? Please round the result to three decimal places. - Empty aquarium
How much does an empty aquarium weigh with dimensions: length = 40 cm, width = 30 cm, height = 20 cm, if 1 dm² of glass weighs 300 g? Calculate its weight in kilograms. - Dredged 47291
The pit for the pool will be 30 meters long, 15 meters wide, and 2 meters deep. How many cubic meters of clay need to be dredged? - Picture 47121
A 25 cm high layer of snow fell on the garden 110 m long and 60 m wide. How many m³ of snow fell? Draw a picture. - Cylindrical 46983
62.8 hl of water per hour flows through the pipe into an empty cylindrical tank with a bottom diameter of 8 m. In 4 hours, the tank will be filled to what height?
- Frustrum - volume, area
Calculate the surface and volume of a truncated rotating cone with base radii of 8 cm and 4 cm and a height of 5 cm. - The diameter
The cone's diameter is 24 cm, and the radius is 12 cm. How many cm does height measure if it is one-third larger than the radius of the cone? - Calculate 46741
Calculate the weight of the pendant - a regular four-side prism made of glass. The density of the glass is 2.5 g / cm3, the edge of the base is 2 cm, and the height of the pendant is 5.5 cm. - Diameter 46661
The granite ball has a diameter of 80 cm. The mass of 1m³ of granite is 2900 kg. What is the mass of the ball? - Plasticine 46461
How many g of plasticine do we need to model a cube with an edge of 150 mm if 1 cm³ weighs 2.1 g?
- The vase
The vase has the shape of a cylinder with a diameter of 1.2 dm. From the upper edge to the water level is 20 cm, and the water depth is 35 cm. How much ml of water would fit in a vase if it was filled to the brim? - Measuring 45801
The aquarium has the shape of a block measuring 80 cm, 30 cm, and 20 cm. The water level reaches 6 cm below the upper edge. How many liters of water are in the aquarium? (1 liter = 1 dm3) - The gift
How much is wrapping paper needed to wrap a cube-shaped gift with an edge measuring 15 cm? - Calculate 45563
Calculate the weight of a wooden board 18 dm long, two dm wide, and 0.3 dm thick if you know that 1 m³ of wood weighs 660 kg. - Hectoliters 45331
How many hectoliters of water can fit in a pool with bottom dimensions of 10 m and 20 m and a depth of 4 m?
Do you have homework that you need help solving? Ask a question, and we will try to solve it.