Volume - math word problems - page 19 of 128
Number of problems found: 2549
- Hourglass
An hourglass consists of two identical containers in the shape of rotational cones. For simplicity, we assume that the cones touch only at their apexes. The sand reaches to half the height of the lower cone. After turning the hourglass over, it takes exac - Spherical layer volume
Sketch a spherical layer formed from a sphere with a radius of r= 8.5 cm, given: v=1.5 cm, r1=7.7 cm, r2=6.8 cm. What is its volume? - Pavel Vojta trees
Paul and Victor were planting trees at a forestry work camp. Paul planted two more trees than Victor in each six-hour shift. Together, they planted 156 saplings in three shifts. How many saplings did each of them plant? - Cylinder-shaped part
A truncated cone-shaped part with base radii of 4 cm and 22 cm is to be recast into a cylinder-shaped part of the same height as the original part. What base radius will the new part have? - Dice in a box
In a box in the shape of a cuboid, four kinds of dice are stored in four layers. In the first layer there are dice with an edge length of 12 cm. In each subsequent layer the length of the edge of the die is 2 cm smaller than the length of the edge of the - Calculation - mesh
Sketch the mesh of a cylinder whose base radius to height ratio is 2 : 3. Calculate the volume and surface of the cylinder if its height is 9 cm (sketch, calculation, answer). - Pyramid height volume
A regular four-sided pyramid has a volume of 2,160 liters and a base edge length of 12 dm. Calculate the height of the needle (sketch, calculation, answer). - If we want
A children's pool has the shape of a cylinder with a base diameter of 4 m and a depth of 50 cm. a) Calculate the volume of water in litres that the pool can hold when filled to the brim. b) If we fill the pool to only 75% of its capacity, how many litres - Pyramid volume ratio
A regular quadrilateral pyramid with base edge length a = 15 cm and height v = 21 cm is given. We draw two planes parallel to the base, dividing the height of the pyramid into three equal parts. Calculate the ratio of the volumes of the 3 bodies created. - Barrel filling time
The water barrel filled to 2/3 of its volume in 42 minutes. How long will it take to fill the barrel? - Revolutions of cylinder
The rotating cone has a volume of 120 dm³. How tall is a cylinder of revolution with the same volume as a cone of revolution? - Beer barrel percentage
In the morning, the waiter has 200 glasses with a volume of 0.3 liters and 100 large glasses with a volume of 0.5 liters each. He starts tapping into those glasses from the 100-liter barrel. In the evening, he will have half of the small beers and a fifth - Rainwater cube buckets
The gardener collects rainwater in a cube-shaped container with an edge length of 80 cm. How many 16-liter buckets will he fill with water from a full reservoir? - Liquid volume reduction
The warm liquid in the container reduced its volume by 2/27 after cooling By what percent was the warm liquid's volume greater than the cooled liquid's? - Examples on solutions
Example no. 1: For the preparation of a 2% solution we need 20 l of water. How many ml of preparation do we use? Example no. 2: How many litres of water/preparation do we need for the preparation of 20 litres of a 2% solution? Example no. 3: How many litr - Slant surface
The surface of the rotating cone and its base area is in the ratio 18:5. Determine the volume of the cone if its body height is 12 cm. - Cone sphere volume A sphere is inscribed in an equilateral cone with a base diameter of 12 cm. Calculate the volume of both bodies. What percentage of the volume of the cone is filled by the inscribed sphere?
- Antifreeze
A car owner needed to replace the antifreeze liquid in the radiator. On the label of the low-freezing liquid it was stated: volume parts of low-freezing liquid 2, volume parts of distilled water 1, freezing point -20°C. How many litres of low-freezing liq - Triangle rotation volume
The rotating body was created by rotating an equilateral triangle with a side length of a=2 cm around one of its sides. Calculate the volume of this rotating body. - Solution mixtures
We have 1 liter of 80% solution. Every hour, pour 1 dl of the solution, add 1 dl of water (a 0% solution), and mix. What percent solution will we have after two mixings?
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