Solid geometry, stereometry - page 94 of 123
Number of problems found: 2442
- Water reservoir
The reservoir shape of a cylinder has a diameter of 8 m and a height of 2.8 m. The device indicates that the reservoir contains 800 hectoliters of water. Calculate how much % of the volume is used. - Block edge reduction
We will reduce one edge of the block with dimensions of 2 cm, 4 cm, and 6 cm by 20%. How does the volume of a block change? What percentage? - Tank water
Forty-eight liters of water are now in the vertical cylinder-shaped water tank. The water reaches a height of 27 cm. After an all-day downpour, water reaches a height of 72 cm. How much water will there be in the tank? - Cylindrical container
An open-topped cylindrical container has a volume of V = 3140 cm³. Find the cylinder dimensions (radius of base r, height v) so that the least material is needed to form the container. - Tank
1080 hectoliters of water were flowed into a cuboid tank whose bottom dimensions are 9 m and 15 m. This filled 40% of the tank's volume. Calculate the tank's depth. - Max - cone
The workshop must produce the greatest cone from the iron bar (shape = prism) with dimensions 6.2 cm, 10 cm, and 6.2 cm. a) Calculate cone volume. b) Calculate the waste. - Pool percentage
Nine hundred hectoliters of water were filled into the cylinder-shaped pool. The pool is 1.5 m deep, and its diameter is 10 m. What percentage of the pool volume has the water-filled? - Hollow block
A hollow block is a prism with base dimensions a = b = 29 cm and height v = 15 cm. The wall thickness is 4.5 cm. What percentage of the block's volume is its cavity? - Cylinder cube percentage
Calculate the percentage of the cube volume that represents the volume of the cylinder inscribed in the cube. The cylinder's bases are circles inscribed on two opposite walls of the cube with an edge a = 14 cm. - Water tank
There is water in the block-shaped tank with dimensions of 3 m, 1.5 m 5 m. It occupies 70% of the tank volume. Find the volume of water in the tank (in hl). - Alaska vs Montana
Alaska is the largest state in the United States and has a surface area of approximately 588,000 square miles. Montana has a surface area of approximately 25% of the surface area of Alaska. What is the approximate surface area of Montana? - Cylinder-shaped vase
If the cylinder-shaped vase is filled with water up to 35 cm, it contains 1 liter of water. How much water will it contain if it is filled to a height of 45cm? - Sugar bowl cubes
A) Can the maximum number of sugar cubes with a volume of 3375 cubic mm fit in a new cube-shaped sugar bowl with internal dimensions of 12 cm, 6 cm, and 3 cm? B) Mom poured sugar cubes into the new sugar bowl, filling it completely. She estimated that the - The cube
The cube has an edge of 12 dm. The second cube has an edge exactly 20% longer. How much % more water is in the second cube than in the first cube if the first cube is full to 3/4 and the second to 3/8? - Cube weight edge
The cube with an edge of 1 cm weighs 0.2 kg. What is the weight of a cube made of the same material with an edge 4 cm long? - Cube volume increase The edge of an 8 cm cube is increased by 20%. By how much does the volume increase compared to the original cube?
- Sphere radius
We reduce the radius of the sphere by 1/3 of the original radius. How much percent does the volume and surface of the sphere change? - Cube surface area
The cube's surface was originally 216 centimeters square. It has shrunk from 216 to 54 centimeters square. Calculate the percent change in the edge of the cube. - Barrel Water Weight Empty
The barrel of water weighed 64 kg. When We poured 28% of the water from it on the first day and a third of the rest on the second day, it weighed 38 kg. Calculate the empty barrel's weight and the water's initial weight. - Cone volume surface
The basic parameters of the rotating cone are: Base radius 5 cm The cone height is 12 cm, and the cone side is 13 cm. Calculate: a/volume of the cone b/cone surface
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