Solid geometry, stereometry - page 7 of 121

Number of problems found: 2410

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?
Glass pendant weight
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.
Granite ball
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 cube weight
How many grams 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 is a cylinder with a diameter of 1.2 dm. From the upper edge to the water level, it is 20 cm, and the water depth is 35 cm. If it were filled to the brim, how much ml of water would fit in it?
Measuring aquarium
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 wrapping paper is needed to wrap a cube-shaped gift with an edge measuring 15 cm?
Board weight
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.
Pool water
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?
Box metal
We make a box in the shape of a cube with an edge of 12 cm. How many cm² of sheet metal do we need to create a box if we do not make the lid?
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?
Sandpit sand
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.
Sand pile
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?
Pool pump filling
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 is a sphere with a diameter of 7.5 m. How many hectoliters can it hold at maximum capacity?
Attic space
Determine the volume of the attic space: width 360 cm height 620cm length 450cm

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