Length + cylinder - practice problems
Number of problems found: 85
- Calculate 82549
The cylinder has a shell surface of 88 square cm and a volume of 176 cubic cm. Calculate the radius, height, and surface area of the given solid. - Precisely 82088
A regular helix is drawn on the shell of the cylinder such that it wraps around the cylinder precisely three times (that is, the point where it touches the upper base is exactly above the point where it touches the lower base). If the diameter of the cyli - Cylinder-shaped 81766
The Novákov family bought a cylinder-shaped pool with a base radius of 200 cm and a volume of 31.4 hl. Could the grandson safely jump if he is 120 cm tall? - 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?
- 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 - Calculate 74794
A wooden cylinder with a diameter of 20 cm and a length of 1 m is immersed in water. The specific weight of wood is 700kg/m³. For example, calculate the height of the wood that is above the water. The role was assigned to me as a high school freshman math - Cylindrical 70024
We should grind a cylindrical rod with a diameter of 6 cm and a length of 20 cm to form a conical rod of the same size and the same base diameter. What will be the volume of material removed? - Hundredfold 63144
The length of the radius of the rotating cylinder base is 5 m. You calculate the radius of an equally high cylinder, the volume of which is a hundredfold. - Pipe thickness
The outer circumference of the tube is 32cm. Its length is 60cm, density 8.5g/cm³ and weight 9.495kg. Calculate the wall thickness of the pipe.
- A paint
A paint tin is a cylinder of 12cm and a height of 22 cm. Leonardo, the painter, drops his stirring stick into the tin, and it disappears. Work out the maximum length of the stick. - Three-quarters 47331
A cylindrical container is three-quarters full with six liters of water. We dip a cube-shaped body into the container, which sinks to the bottom. The length of the edge of the cube is 13 cm. Decide what happens to the sink after the cube is dipped. - Diameter 46141
The road roller has a diameter of 1.4 m and a length of 160 cm (a) how many square meters the road rolls when it turns 95 times b) how many times does it turn when rolling a 3 km-long section - 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 - 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)
- The square
The square oak board (with density ρ = 700 kg/m3) has a side length of 50 cm and a thickness of 30 mm. 4 holes with a diameter of 40 mm are drilled into the board. What is the weight of the board? - Copper wire
What is the weight in kg of copper wire 200 m long with a diameter of 0.6 cm if the density of copper is 8.8 kg/dm³? - Cylindrical 37801
A tank has the shape of a cylinder with a diameter of 1.6 m and a length of 4.5 m. At least how many cylindrical barrels with a diameter of 0.8 m and a height of 1.5 m are needed to empty a tank? - Copper winding
Calculate the current flowing through the copper winding at an operating temperature of 70°C Celsius if the winding diameter is 1.128 mm and the coiled length is 40 m. The winding is connected to 8V. - Half-cylinder 30941
Gutters have the shape of a half-cylinder. Their diameter is 20 cm, and the total length around the roof is 35 m. How much is sheet metal needed to make them? Add 15% to the connections.
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