Cylinder practice problems - page 9 of 24
Number of problems found: 480
- Hectoliters 32941
Behind the house stands a barrel with 0.25 hectoliters of water. The father gradually takes 12 liters of fragile water from it for watering until the last 10 liters of water remain at the bottom. At most, how many full kegs could the father fill from this
- Toothpaste 80763
Little Jirka wanted to know how much toothpaste was in the tube, so he gradually squeezed it all out and there was a cylinder of toothpaste in the room. Can you guess how long it might have been? Calculate the values: the internal diameter of the paste ne
- Experienced 2703
The customer wants to buy 300 meters of wire with d = 4mm. An experienced salesman knows that 100 meters of wire are about 10 kilograms, so he weighs 30 kilograms of wire. Find out how many meters of wire are in a bundle of wire weighing 30 kilograms (or
- A bus 3
A bus has a petrol tank in the shape of a cylinder. The cylinder is 125 cm long and has a diameter of 42 cm. (i) How much will a full tank of petrol cost at the rate of 5.23 per liter? (ii) If the bus uses petrol at 12.5 liters for every 50 km, how far ca
- The solar
The solar heating tank has the shape of a rotating cylinder. When the tank is in a horizontal position, the water in the tank wets 4/5 of each tank base. If we place the tank in a vertical position, the water in the tank will reach up to 1.2 m. Calculate
- Nitrogen gas
In a cylinder with a piston, there is nitrogen N2 with a volume of 5 liters, a temperature of 25 degrees Celsius, and a pressure of 200 kPa. We very slowly compress the gas in the cylinder to half its volume while its temperature does not change. Determin
- Brass tube
The outer perimeter of the brass tube (ρ = 8.5 g/cm³) is 38 cm. Its mass is 5 kg, length 54 cm. What is the pipe wall thickness?
- Metal sheets
How much metal sheet is needed to produce eight 4 m long and 12 cm in diameter gutters? During production, joints are calculated at 3% of total consumption.
- Cylinder-shaped 12761
During the experiment, water flows evenly into a cylinder-shaped container. At the end of the 5th minute of the experiment, the water level was 25% higher than at the beginning of the experiment. 0 how many percent higher will the water level be at the en
- A cylindrical tank
A cylindrical tank can hold 44 cubic meters of water. If the radius of the tank is 3.5 meters, how high is the tank?
- Water container
The container with water weighs 1.48 kg when we cast 75% of the water content of water weight 0.73 kg. How heavy is an empty container?
- Barrel 3
The barrel with water weighs 118 kg. When we get off 75% of water, it weighs 35 kg. How many kg has an empty barrel?
- The barrel
The barrel is 135 cm high. If we fill it to a height of 60 cm, it weighs 163 kg. If we fill it to a height of 80 cm, it weighs 213 kg. How many kilograms weigh a full and how many empty barrels?
- Calculated 31901
The company is to dig a well 25 m deep with a radius of 0.8 m. How many cars that can be loaded with 12 cubic m will be needed to transport the excavated soil if it is calculated that the soil will increase in volume by 10% when excavated?
- Transport 7890
The sheet metal keg for oil transport has the shape of a cylinder with a volume of 62.8 liters and a height of 0.5 m. How many kg of paint do we need to paint if we need 1 kg of paint for 1.5 m²?
- Fuel economy
How many kilometers is sufficient petrol in the cylinder fuel tank with a diameter of 40 cm and the base of tank length of 1 m when it is filled to 60%, and if the car consumes 15 liters per 100 km?
- Atmospheric 2901
The measured value of atmospheric pressure is 96,000 Pa. We want to verify this value with a closed tube at one end. Before measuring, fill the tube with glycerol (density of glycerol ρ = 1200 kg/m3). How long does the tube have to be?
- Carefully 12791
Spruce logs with a diameter of 270 mm and a length of 4 m are carefully loaded onto a wagon with a bed width of 2,700 mm and stacked in 9 layers. How much does such a load of spruce wood weigh if its density is 700 kg/m³?
- Candles
Before Christmas, Eva bought two cylindrical candles—red and green. Red was 1 cm longer than green. She lit a red candle on Christmas Day at 5:30 PM and a green candle at 7:00 PM, leaving them on fire until they burned. At 9:30 PM, both candles were the s
- Everything in soup
The pot with soup is shaped like a cylinder with a bottom diameter of 20 cm and a height of 24 cm. How many guests will we have enough soup for if the pot is filled to two-thirds of the height and 0.25 l of soup is calculated per person? (pay attention to
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