Volume - math word problems - page 117 of 126
Number of problems found: 2504
- The cylindrical container
The container has a cylindrical shape. The base diameter 0.8 meters has an area of the base equal to the shell's area. How many full liters of water can be poured maximally into the container?
- Tin with oil
Tin with oil has the shape of a rotating cylinder whose height is equal to the diameter of its base. The canned surface is 1884 cm². Calculate how many liters of oil are in the tin.
- Fire tank
How deep is the fire tank with the dimensions of the bottom 7m and 12m, when filled with 420 m³ of water?
- Tetrahedral pyramid
Calculate the volume and surface area of a regular tetrahedral pyramid; its height is $b cm, and the length of the edges of the base is 6 cm.
- Juice box 2
The box with juice has the shape of a cuboid. Internal dimensions are 15 cm, 20 cm, and 32 cm. Suppose the box stays at the smallest base juice level and reaches 4 cm below the upper base. How much internal volume of the box fills juice? How many cm below
- 4 pipes
The tank flows out by four pipes in 6 hours 120 hl water. How much water flows out of 5 pipes of the same diameter in 14 hours?
- Juice box
In the box is 0.3 liters of juice. How many liters of juice are 9 these boxes?
- Pyramid a+h
Calculate the pyramid's volume and surface area with the edge and height a = 26 cm. h = 3 dm.
- Velocity ratio
Determine the ratio at which the fluid velocity in different parts of the pipeline (one piece has a diameter of 5 cm and the other has a diameter of 3 cm) when you know that every point of the liquid is the product of the area of the tube [S] and the flui
- Max - cone
The workshop must produce the greatest cone from the iron bar (shape = prism) with dimensions 6.2 cm, 10 cm, and 6.2 cm. a) Calculate cone volume. b) Calculate the waste.
- Water level
How high is the water in the cylindrical barrel with a diameter of 12 cm if there is a liter of water? Express in cm with an accuracy of 1 decimal place.
- Barrel 3
The barrel with water weighs 118 kg. When we get off 75% of water, it weighs 35 kg. How many kg has an empty barrel?
- Truck of milk
How many hectoliters of the box milk fit in the truck if the cargo size area is 2.8 m x 3 m x 17 m? A liter of milk in a box measuring 12 cm x 7 cm x 20 cm.
- Bakery and flour
The baker filled the bakery tray with flour to 3/4 volume. After removing 875 kg of flour, he filled it to only 2/5 of the volume. How many tons of flour is in the full tray?
- Garden pool
Mr. Novak fills the garden pool (cylinder; diameter of 200 cm) with 31.4 hl of water. What is the depth of the pool when the water level is 10 cm below the upper edge of the pool?
- Solutions
How much is the 60% solution, and how much 35% solution needed to create 100 l of the 40% solution?
- Cuboid
How many times will the volume of a cuboid increase if one dimension is twice larger, the second dimension three times larger, and the third dimension four times lower?
- Water
The lawn has an area 1571 m², rained 5 mm of water. How many liters of water rained?
- Bottles of juice
How many 2-liter bottles of juice need to buy if you want to transfer the juice to 50 pitchers' rotary cone shape with a diameter of 24 cm and a base side length of 1.5 dm?
- Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere.
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