Percentages + cylinder - practice problems

Number of problems found: 16

Metal sheets
How much metal sheet is needed to produce 8 gutters 4 m long and 12 cm in diameter? During production, joints calculate at 3% of total consumption.
Cylinder in cube
Into a paper box in the shape of a cube with an edge of 10 cm is placed a can in the shape of a cylinder with a height of 10 cm and touching all the walls of the cube. What % of the volume of the cube can take up?
Gutter pipe
How many m² of sheet metal is required to produce a 12 m long and 18 cm wide gutter, if 7% bend is required?
Hectoliters
How many hectoliters of water is in a garden barrel with 90 cm diameter and a height of 1.3 m if it is filled to 80% of its capacity?
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?
Vintner
How high can vintner fill keg with crushed red grapes if these grapes occupy a volume of 20 percent? The keg is cylindrical with a diameter of the base 1 m and a volume of 9.42 hl. Start from the premise that says that fermentation will fill the keg (the
Water reservoir
The reservoir shape of a cylinder having a diameter 8 m and a height 2.8 m. The device indicates that the reservoir contains 800 hectoliters of water. Calculate how much % of volume is used.
Cylinder
In a 1-meter diameter cylinder is 1413 liters of water, which is 60% of the cylinder. Calculate the cylinder height in meters, do not write the units. The resulting value round and write as an integer.
Lathe
Calculate the percentage of waste if the cube with 53 cm long edge is lathed to cylinder with a maximum volume.
Water container
Container with water weighs 1.48 kg. When we cast 75% of water container of water weight 0.73 kg. How heavy is an empty container?
Barrel 3
Barrel with water weights 118 kg. When we get off 75% of water, it weights 35 kg. How many kg has an empty barrel?
Barrel 2
Empty barrel weighs 7 kg. When it filled with water up to 45% height, weighs 60 kg. How heavy is barrel full of water?
Lathe
From the cube of edge, 37 cm was a lathed maximum cylinder. What percentage of the cube is left as waste after lathed?
Gutter
How much metal is needed for production $n pieces of gutter pipes with the diameter $D cm and length of $l m? The plate bends add $p% of the material.
Barrel of oil
Barrel of oil weighs 283 kg. When it mold 26% oil, weighed 216 kg. What is the mass of the empty barrel?
Cone in cylinder
The cylinder is inscribed cone. Determine the ratio of the volume of cone and cylinder. The ratio express as a decimal number and as percentage.

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