Volume - math word problems - page 19 of 127
Number of problems found: 2524
- 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 (sketch, calculation, answer). a) Calculate the volume of water in liters that can be in the pool if it is filled to the brim. b) If we fill the pool only 75%, - Pyramid volume ratio
A regular quadrilateral pyramid with base edge length a = 15cm and height v = 21cm 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? - 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?
- 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? - Toothpaste roll length
How long will the roll of toothpaste be extruded from the tube if the volume of the toothpaste is 100 ml and the diameter of the opening is 8 mm? - Circumference of edges
The hexagon pyramid has a circumference of 120 cm, and the length of the side edge is 25 cm. Calculate its volume. - Cube edge meter
How many cubes with an edge of 1 cm fit into a cube with an edge of 1 m? - Cube edge millimeter How many cubes with an edge of 1 mm fit into a cube with an edge of 1 cm?
- Spherical segment
Calculate the volume of the spherical segment and the surface area of the canopy if the radius of the sphere is r = 5 cm and the radius of the circular base of the segment ρ = 4 cm. - Pyramid edge calculation The foundations of a regular truncated quadrilateral pyramid are squares. The lengths of the sides differ by 6 dm. Body height is 7 dm. The body volume is 1813 dm³. Calculate the lengths of the edges of both bases.
- Circumscribed - sphere
A cube with a volume of 4096 cm³ is described and inscribed by a sphere. Calculate how many times the volume of the circumscribed sphere is greater than the inscribed sphere.
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