Volume - math word problems - page 119 of 126
Number of problems found: 2511
- Cone
Into rotating cone with dimensions r = 8 cm and h = 8 cm is an inscribed cylinder with maximum volume so that the cylinder axis is perpendicular to the cone's axis. Determine the dimensions of the cylinder. - Cylinder - h2
The cylinder volume is 3 liters. The base area is 1.1 dm². Calculate the height of the cylinder. - Car consumption
The car consumes 7.3 l/100 km. If the diesel price is 1.63 USD/l, how much will it cost to ride 330 km long? - Water reservoir
The cuboid reservoir contains 1900 hectoliters of water, and the water height is 2.7 m. Determine the bottom dimensions where one dimension is 2.2 m longer than the second. - Workers
Workers are digging a jump pit in the schoolyard. The pit is cuboid in shape, with a length of 5 m, a width of 20 dm, and a depth of 36 cm. They excavate 0.4 cubic meters of soil an hour. How much time (hours and minutes) is needed to excavate this pit? - Pit
The pit is 1.2 m deep and in the shape of a truncated pyramid with a rectangular base. Its length and width are the top 3 × 1.5 m and the bottom 1 m × 0.5 m. To paint one square meter of the pit, we use 0.8 l of green paint. How many liters of paint are n - Sphere and cone
Within the sphere of radius G = 33 cm, inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone? - Triangular prism
The plane passing through the edge AB and the center of segment CC' of regular triangular prism ABCA'B'C' has an angle with base 30 degrees, |AB| = 15 cm. Calculate the volume of the prism. - Pentagonal pyramid
Calculate the volume of a regular 5-side (pentaprism) pyramid ABCDEV; if |AB| = 7.7 cm and a plane ABV, ABC has angle 37 degrees. - Cross-sections of a cone
Cone with base radius 15 cm and height 20 cm divided by parallel planes to base into three bodies. The planes divide the height of the cone into three equal parts. Determine the volume ratio of the maximum and minimum of the resulting body. - Hřiště
The map scale is 1: 5000. The playground is rectangular and, on the map, has dimensions 4 cm and 2 cm. What is the area of the playground in square meters in reality? - Mystery of stereometrie
Two regular tetrahedrons have surfaces 92 cm² and 207 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Medal
Calculate the approximate weight of the gold Olympic medal if its diameter is 7 cm and its thickness 6 mm. The density of gold can be found in tables or on the Internet. - Ratio three numbers
Three numbers SUV are in the ratio 2:3:4. Their sum is 90. Find these numbers and write their add and sum. - Aircraft
The aircraft has a fuel tank 74 hl of aviation fuel, and flight consumes 3.2 liters of fuel. Identify the function that expresses the dependence of the fuel volume in the tank on the track distance plane flew by. How many hectoliters of fuel is still in t - Tank
The tank bottom has dimensions of 1.5 m and 4 1/2 m. The tank is 379 hl of water. How high is the water surface? - Pool 2
The first supply is by the pool fill for five hours and the second fill for six hours. The drain should be drained for 15 hours. How many hours is the pool full when we open both inlets now, and the outlet opens two hours later? - Reservoir + water
The reservoir filled with water weighs 29 kg, and after pouring off, three-quarters of the water weighs 9 kg. Calculate the weight and volume of the reservoir. - Sugar - cuboid
Pablo received from his master a cuboid composed of identical sugar cubes, each weighing between 1000 and 2000. The Pejko eat sugar cubes in layers. On the first day, eat one layer from the front. On the second day, one layer is from the right, and on the - Potatoes
Could 338 tons of potatoes (ρ = 719 kg/m³) fit in a warehouse with a volume of 648 m³?
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