Fractions + cylinder - practice problems - last page
Number of problems found: 38
- Calculated 38721
The soup pot has the shape of a cylinder with a bottom diameter of 30 cm and a height of 36 cm. How many people is the soup enough if the pot is filled to ¾ height? It is calculated with 0.25 l of soup for one person. - Cylinder 82991
Please express r from the formula for the surface of the cylinder. - Barrel-shaped 30341
The barrel-shaped barrel has a base diameter of 6 dm and a height of 1.2 m. How many 5-liter buckets will we fill it to 3/4 of its height? - Diameter 81760
Winding drum length 180mm, initial diameter 60mm. Using a 6mm rope with a length of 50m, what will be the diameter of the wound drum with the rope?
- Two balls
Two balls, one 8cm in radius and the other 6cm in radius, are placed in a cylindrical plastic container 10cm in radius. Find the volume of water necessary to cover them. - The barrel
The barrel is 135 cm high. If we fill it to a height of 60 cm and it weighs 163 kg. If we fill it to a height of 80 cm, it weighs 213 kg. How many kg weighs a full and how much empty barrel? - 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? - Cylindrical 20803
The cylindrical container has a height of v = 85 cm. The diameter of the container is 8 cm. How many liters of water will fit in this container when it is half full? - Calculate 74024
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm square. Calculate the radius of the base.
- Pipes
The water pipe has a cross-section 1184 cm². An hour has passed 743 m³ of water. How much water flows through the pipe with cross-section 300 cm² per 6 hours if water flows at the same speed? - Cylinder-shaped 81512
A truncated cone-shaped part with base radii of 4 cm and 22 cm is to be recast into a cylinder-shaped part of the same height as the original part. What base radius will the new part have? - Hectoliters of water
There are 942 hectoliters of water in a cylindrical tank with an inner diameter of 6 m. The water reaches two-thirds of the depth of the tank. Calculate its depth. - Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot - 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
- Cylinder-shaped 71844
The cylinder-shaped tank with a diameter of 100 cm is 50% full and contains 7850 l of water. What is the height of the tank? - Circular 7894
A 2 cm thick layer of ice formed in the circular water tank. What part of the tank's water (answer in percent) froze if the tank has a diameter of 20 m and a depth of 1.5 m? - Cylindrical 46021
Calculate the magnetic field energy of a cylindrical coil with 400 turns, a length of 0.4 m, and a radius of 20 mm. A current of 3A passes through the coil. (µo = 4π 10-7 H. M-1) - Surroundings 74114
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
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