Volume + reason - practice problems
Number of problems found: 74
- Spheres in sphere
How many spheres with a radius of 15 cm can fit into the larger sphere with a radius of 150 cm? - Fuel consumption
Mazda car has an average nafty consumption of 4.2 liters per 100 kilometers. What is the car range for a full tank of volume 73 liters? - Pump
What power does a pump output to move 4853 hl of water to a height of 31 m for 8 hours? - 40% volume
40% volume with 104 uph (units per labor hour) 8 people are working. What is the volume? - Integer cube
The length of the cube edge is an integer. Its volume is in cm3, a five-digit number divisible by 1331. What is the length of the edge of this cube? - Lemonade
In January, 2 liters of lemonade were sold for CZK 24, while in February, 2.5 liters of lemonade were sold at the same price. How much percent was 1 liter of lemonade cheaper in February than in January? - Force meter
We put the statuette on the force meter. The force meter showed a value of 25 N. Then we placed the statuette on the force meter, completely immersed in the water. The force meter showed a value of 17 N. What is the volume of the statuette? - Into box
How many cubes with an edge of 2.5 cm fit into a box measuring 11.6 cm, 8.9 cm, and 13.75 cm? - Increased 12821
Compared to last year, the milk price doubled in May this year and fell to half the increased price in October. Now a liter of milk costs 50 cents. How many euros did 100 liters of milk last year? - Three-liter 6204
We have to store seven cans of oil of 25 liters each in 45 cans, some of which are five liters and some three liters. How many three-liter cans and how many five-liter cans do we have? - Tower
Charles built a tower of cubes with an edge 2 cm long. In the lowest layer, there were six cubes (in one row) in six rows. In each subsequent layer, always one cube and one row less. What volume in cm³ did the whole tower have? - Milk
There were 22 liters of milk in three containers. There were 6 liters more in the first container than in the second. After pouring 5 liters from the first container into the third container, the same quantity of milk is in the second and third containers - 2x cone
Circular cone height 84 cm was cut plane parallel with the base. The volume of these two small cones is the same. Calculate the height of the smaller cone. - Semi-sweet 6515
A bottle of red semi-sweet wine with a volume of 0.75L has a sugar content: of 18-45g/dm³. CHow much is it in terms of sugar cubes? - Sphere cut
A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the segment's volume. What is the distance of the cutting plane from the center of the sphere? - Sportsman
A trained athlete can exhale after a deep breath, still 500 ml of air. At normal inhalation and exhalation is breathing 500 ml of air. Within one minute, one breath and exhaled 14 times. What part of breathing air per day is one exhalation? - Three glasses
Three glasses of different colors have different volumes. Red 1.5 liter is filled from 2/5, blue 3/4 liter is filled from 1/3, and the third green 1.2 liter is empty. Pour green glass 1/4 of the contents from the red glass and 2/5 of the content from the - Cuboid and ratio
A cuboid has dimensions in a ratio of 1:2:6, and the surface area of the cuboid is 1000 dm². Calculate the volume of the cuboid. - Five-sevenths 4789
Forty-two liters of water fill the barrel to two-thirds of its volume. How many liters of water do we need to add if it is filled to five-sevenths of a volume? - Theoretically 35321
Calculate how many soccer balls (the volume of one is 7,200 cm3) theoretically fit into a room with dimensions of 8x5x3 m. Neglect the gaps between the balls.
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