Ratio + volume - practice problems
Number of problems found: 165
- Markus painter
Markus used ¾ liter of paint to cover 10 ½ square meters of wall. How many liters of paint are needed to cover 12 ¼ square meters of the wall? - Volume ratio
Calculate the volume ratio of balls circumscribed (diameter r) and inscribed (diameter ϱ) into an equilateral rotating cone. - Cone in cube
The cube is an inscribed cone. Determine the ratio of the volume of cone and cube. Please write the ratio as a decimal number and as a percentage. - Inscribed 6155
A cylinder with a height equal to half the height of the cone is inscribed in the rotating cone. Find the volume ratio of both bodies. - Cone in cylinder
The cylinder is an inscribed cone. Find the ratio of the volume of the cone and cylinder. Please write the ratio as a decimal number and as a percentage. - Cylinder melted into cuboid
A circular cylinder has an area of cross-section 56cm², and the height is 10cm. The cylinder is melted into a cuboid with a base area of 16cm². What is the height of the cuboid? - Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in a ratio of 3:2. Volumes of a sphere and cuboid are in a ratio of 1:3. At what rate are the volumes of a cube, cuboid, and sphere? - Gas consumption
The vessel consumes 100 tons of gas in 250 miles. How much fuel will the vessel consume if it travels 400 miles? - Consumption 8079
The survey reduced hot water consumption by a ratio of 4:5. By what percentage has household water consumption decreased? - Volume of sphere
How many times does the volume of a sphere increase if its radius increases two times? - Inscribed sphere
How much % of the volume of the cube whose edge is 6 meters long is a volume of a sphere inscribed in that cube? - Cylinder surface, volume
The area of the base and the area of the shell are in the ratio of 3:5. Its height is 5 cm less than the radius of the base. Calculate both surface area and volume. - 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? - Density - simple example
Material of density of 1189 kg/m³ occupies a container volume of 64 cm³. What is its mass? - Painter 83225
A painter needs to mix yellow and red paint in the ratio 3 : 7. How many liters of red paint must he add to 21 liters of yellow paint? - Blueberries 79284
Lenka, Jane, and Michael collected blueberries in the ratio of 3:4:2. Lenka collected 4.5 liters of blueberries. How many blueberries did Jane and Michael collect? - Mixing 5
Carlos mixed 4/15 of chocolate syrup with 1/2 of milk. Determine the reasonable estimate of the total amount of liquid - Carpenter
A carpenter cut off a small cuboid block with half the edge length from a wooden block. How many percent of wood did he cut off? - Solutions 70424
To what extent do we need to mix 82% and 54% solutions to get a 76% solution? - Smoothie 2
David is using 100 ml of pineapple juice to make a smoothie. He needs to use a pineapple juice to orange juice ratio of 2: 5. How much orange juice should he use?
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