Volume + percentages - practice problems - page 4 of 11
Number of problems found: 203
- Laboratory 37011
How much distilled water does a laboratory assistant have to add to 500 ml of 30 percent hydrogen peroxide to prepare a 3% gargle? - Identical 35961
Nine identical spheres are stacked in the cube to fill the volume of the cube as much as possible. What part of the volume will the cube fill? - Iglu - cone tent
The cone-shaped tent is 3 m high, and the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m² of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste - Calculate 33911
Calculate the volume of 50% KI solution and the volume of 20% KI solution needed to prepare 180g of 30% KI solution. The solution densities are known: ρ50% = 1.54575 g / cm3, ρ20% = 1.16597 g / cm³. - Fresh juice
The seller offers fresh-squeezed juice, which the customer either pours into his own containers or sells in liter plastic bottles, which the customer buys from him. A liter of juice costs 40 CZK more than a bottle. There is no charge for turning the juice - 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? - Dimensions 31751
The freezer box has internal dimensions of 900 mm, 0.75 m, and 6 dm. 30% of the space is filled with frozen peppers packed in boxes measuring 150mm, 100mm, and 50mm. How many boxes are in the box? - Exponential decay
A tank contains 55 liters of water. Water is flowing out at the rate of 7% per minute. How long does it take to drain the tank? - The water barrel
The water barrel weighs 122 kg. If we pour 75% of the water out of it, it will weigh 35 kg. What is the weight of the barrel? - Solutions, mixtures
We have 2 liters of 20% solution available. How much 70% solution do we need to add to get a 30% solution? - Concentration 27551
We need a 4% solution of H2O2 (hydrogen peroxide) for the disinfection solution. We only have a 40% solution available. How much water do we need to add to 100ml of the original solution to obtain the desired concentration? - Beer tapping
When checking compliance with the beer tapping, it was found that 60% of the offered beers were underfilled. The others were fine. Thus, instead of 0.5 l, the volume was 4.4 deciliters on average. What was the volume of one average underfilled beer? - Cuboid-shaped 27421
The cuboid-shaped aquarium has the dimensions of the bottom: a = 0.7 m, b = 0.4 m. if it is filled to 90% of its volume and contains 75.6 liters of water? - Percentage 24931
There is a cylinder with the largest possible volume in the cube with an edge of 6 m. What percentage of the volume of a cube has the volume of a cylinder? - 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? - Quadrilateral 23891
A cylinder with the maximum possible base was ground from a wooden regular quadrilateral prism (edge 2.8 cm, height 7.5 cm). What percentage of the material was wasted as waste? What percentage would it be if the height of the prism were twice as large? - Hectoliters 22383
The reservoir has the shape of a sphere with a diameter of 10 m. How many hectoliters of water is in it when it is filled to 90%? How many kg of paint are needed for painting if it is painted twice, and 1 kg of paint is enough for 6 square meters? - Sphere-shaped 20723
The sphere-shaped reservoir has a volume of 282 hl. Calculate the material consumption in m² for its production, assuming 8% for joints and waste. Round the final result to the nearest total. - Bartender 20603
The mixed drink consists of 1.5 dcl of pineapple juice and 0.5 dcl of coconut syrup. Klára ordered it sweeter, so the bartender changed the volume of coconut syrup to a ratio of 3:2. What percent of the drink is now coconut syrup if the volume of the juic - Cube in sphere
The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the cube's volume from the ball's volume?
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