Cylinder practice problems - page 13 of 25
Number of problems found: 491
- Store - silo
A cylindrical silo (d = 4 m, h = 8 m) is about 70% full. How many m³ of silage are stored in it? Round the result to the nearest whole number. - Bottom diameter
Milo poured 2 dl of fruit juice into a cylindrical glass with a base diameter of 6 cm. How high did the juice level reach in the glass? - Cylinder axial section
The axial section of the cylinder is a square with an area of 56.25 cm². Calculate its surface area and volume. Express the result in square decimeters and cubic decimeters and round to hundredths. - Pipe water radius
5 m³ of water flows through the pipe in 1 second at a maximum speed of 2 m/s. What is the pipe radius? - Axial section
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm². Calculate the radius of the base. - Cylinder surface
The area of the rotating cylinder shell is half the area of its surface. Calculate the surface of the cylinder if you know that the diagonal of the axial section is 5 cm. - Axial section
The axial section of the cylinder has a diagonal 50 cm. The shell size and base surface are in the ratio 2:5. Calculate the volume and surface area of this cylinder. - Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4, and the area of Lateral Surface Area (LSA) is 24 dm². - Gold wire
A wire of length 1.4 km was drawn from one gram of gold. What is its diameter if the density of gold is ρ = 19.5 g/cm³? - Rotary cylinder
In a rotating cylinder, the surface area S= 96 cm² (without the base) and the volume V= 192 cm cubic are given. Calculate its radius and height. - Asphalt - rolling
A road roller has a diameter of 80 cm and a width of 1.2 m. How many square metres of road does it roll if it makes twenty full rotations? - Glass label paper
We want to stick labels on the glasses. The labels stick right around the glass. The diameter of the cup is 6 cm. The height of the label is 10 cm. a) How many labels will we make from 30 x 40 cm paper? b) How many papers of this size will we use to make - Pipe thickness
The outer circumference of the tube is 32 cm. Its length is 60 cm, its density is 8.5 g/cm3, and its weight is 9.495 kg. Calculate the wall thickness of the pipe. - Container paint cost
How many crowns will the paint cost to paint a cylindrical container (d = 4.2 m, h = 5.5 m) when about 5 m² of paint is painted from 1 kg of color, and 1 kg of paint costs 115 CZK? - Mass
The thickness of a metallic tube is 1 cm, and its outer radius is 11 cm. Find the mass of such a 1 m long tube if the metal density is 7.5 g per cubic cm. - Floating barrel
A barrel (cylindrical in shape) floats on water with its top 18 dm above the water surface. The width of the part of the barrel above the waterline is 34 dm. The length of the barrel is 12 dm. Calculate the volume of the barrel. - Round up - fountain
A fountain, cylindrical in shape with a base diameter of 2 m, is 25 cm deep. How many litres of water can it hold? Round the result to the nearest whole number. - 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 - Tank water height
The tank has the shape of a rotating cylinder with a base radius of 6 m reach. Water flows at a speed of 2 liters per second for 3 hours. To what height does the water in the tank? - Cylinder volume diagonal The axial section of the cylinder is a rectangle with a diagonal of u = 20 cm. The height of the cylinder is twice the diameter of the base. Calculate the cylinder volume in liters.
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