Ratio + volume - practice problems - page 4 of 9
Number of problems found: 168
- Volume ratio
Calculate the volume ratio of balls circumscribed (diameter r) and inscribed (diameter ϱ) into an equilateral rotating cone. - Mixing 5
Carlos mixed 4/15 of chocolate syrup with 1/2 of milk. Determine the reasonable estimate of the total amount of liquid - Mixing paint with water
Mr. Adamek will paint. The purchased paint is diluted with water in a ratio of 1: 1.5. a) how many parts of water will add to 1 part of the paint b) how many liters of water the mission adds to 2 liters of paint - Equilateral cone
We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down?
- Instructions: 27783
Mr. Blažek is preparing a solution for the winter spraying of trees. He read the instructions: "We dilute in a ratio of 1:100. "How much of the spray can be poured into two liters of water? (There is always more water in the spray. ) - Concentration 27551
We need a 4% solution of H2O2 (hydrogen peroxide) for the disinfection solution. We only have a 40% solution available. How much water do we need to add to 100ml of the original solution to obtain the desired concentration? - Cuboid edges
Calculate the volume and surface of a cuboid whose edge lengths are in the ratio 2:3:4 and the longest edge measures 10cm. - Calculate 23411
The prism with a diamond base has one base diagonal of 20 cm and a base edge of 26 cm. The edge of the base is 2:3 to the height of the prism. Calculate the volume of the prism. - Powerful 20773
The 300 liters per minute water starts to flow into the empty pool. We will fill the pool in 5 hours. How long would it take to fill a pool with a more powerful 750L pump per minute?
- Ingredients 20623
To prepare poultry risotto for 4 diners, we need 200 g of rice, 150 g of mushrooms, 150 g of peas, 300 g of chicken, 600 ml of stock, and 5 g of salt. What amount of ingredients do we need for 10 diners? - Bartender 20603
The mixed drink consists of 1.5 dcl of pineapple juice and 0.5 dcl of coconut syrup. Klára ordered it sweeter, so the bartender changed the volume of coconut syrup to a ratio of 3:2. What percent of the drink is now coconut syrup if the volume of the juic - Dimensions 20553
The surface of the block is 558 cm², and its dimensions are in the ratio of 5:3:2. Calculate the volume. - Cuboid walls
The block's base is a rectangle whose sides have lengths in the ratio of 13:7. Find the volume of the block in liters if the longer side of the base measures 65 cm, and the height of the block is 1.2 m - Cuboid and ratio
A cuboid has a volume of 810 cm³. The lengths of edges from the same vertex are in a ratio of 2:3:5. Find the dimensions of a cuboid.
- Concentrate 18043
Fruit juice concentrate is sold in two-liter bottles. It is diluted with water in a ratio of 1:9. a) determine how to prepare 5 liters of fruit drink from concentrate and water. b) How many liters of fruit drink can be prepared from a full bottle of fruit - Recommended 16823
Gasoline will be mixed with oil. The recommended mixing ratio of oil and petrol is 1:50. We have 5 liters of gasoline in the canister. How many deciliters (dl) of oil must add to keep the recommended ratio? - Water container
The cube-shaped container is filled to two-thirds of its height. If we pour 18 liters, it will be filled to three-fifths of the height. What is the volume of the whole container? - Conical bottle
When a conical bottle rests on its flat base, the water in the bottle is 8 cm from its vertex. When the same conical bottle is turned upside down, the water level is 2 cm from its base. What is the height of the bottle? - Axial section of the cone
The axial section of the cone is an isosceles triangle in which the ratio of cone diameter to cone side is 2:3. Calculate its volume if you know its area is 314 cm square.
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