Solid geometry, stereometry - page 92 of 121
Number of problems found: 2409
- Cylinder express radius
Please express r from the formula for the surface of the cylinder. - Gutter pipe
How many m² of sheet metal is required to produce a 12 m long and 18 cm wide gutter if a 7% bend is required? - Hectoliters
If a garden barrel with a 90 cm diameter and a height of 1.3 m is filled to 80% of its capacity, how many hectoliters of water is in it? - Metal box
How much metal do we need to produce in a box with dimensions of 5 dm, 30 cm, and a height of 1 m? Add 12% of the waste and fold. - The soap
The soap has the shape of a cuboid with dimensions of 6 cm, 4 cm, and 2 cm. Katy used it for a week and all the dimensions of the soap shrunk by half. How long will her soap last? - Volume increase
How much percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm? - Gutter material calculation
The length of the gutter is 2 m, and the diameter of the gutter is 0.4 m. It is necessary to add 7% of the material to the joints. Find the consumption of sheet metal for the gutter construction. - Water tank 2
The water tank cuboid is 12 meters long and 6.5 meters wide, and 1.2 meters high. How many hectoliters are in the tank when it is filled to 89%? - Barrel 2
The empty barrel weighs 12 kg. When it is filled with water up to 39% height, it weighs 69 kg. How heavy is a barrel full of water? - Freezer volume percentage
The chest freezer has dimensions (w * h * d) 79.5 * 87.6 * 66.5 cm. Its useful volume is 210 liters. What percentage of the total freezer volume is the usable volume? - Tank percentage
288hl of water was filled into a block-shaped tank with bottom dimensions of 12 m and 6 m and a depth of 2 m. What percentage of the volume of the tank did the water occupy? - Butter
The same amount of butter is cut evenly from a cuboid every day. In seven days we used so much butter that all its dimensions were halved. a) How much percent of butter do we still have left? b) How many days will the butter last if we continue to cut the - Bricks
Openings in perforated bricks occupy 10%, and brick has dimensions of 30 cm, 15 cm, and 7.5 cm. Calculate a) the weight of a perforated brick if you know that the density of the full brick material is p = 1800 kg/m³ (1.8 kg/dm³) b) the number of perforate - 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. - Block edge reduction
We will reduce one edge of the block with dimensions of 2cm, 4cm, and 6cm 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? - The golf
The golf ball with a diameter of 43 mm is packed in a cube-shaped box. What percentage of the box volume is made up of a ball? - Pit soil volume
The lime pit has the shape of a quadrilateral prism with dimensions of 2m, 1.8m, and 1.5m Calculate the pile volume from the excavated soil, which, due to fluffing, is 20% larger than the volume of the pit. - Six pipes
6 Pipes are required to fill a tank in 1 hour 20 minutes. How long will it take to use only five pipes of the same type? Give your answer in hours and minutes. - Cylinder in cube
A can in the shape of a cylinder with a height of 10 cm and touching all the walls of the cube is placed into a paper box in the shape of a cube with an edge of 10 cm. What % of the cube's volume can it take up?
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