Equation + volume - practice problems - page 6 of 12
Number of problems found: 240
- Temperature 36991
Honza filled 2 liters of hot water at a temperature of 90 ° C from a heater into a five-liter container. What temperature must the water that the container fills have a mixture temperature of 42 ° C? - Two-fifths 2819
The petrol tank is filled to three-quarters of its volume. After running out of 875 liters of gasoline, it was filled to only two-fifths of the volume. How many liters does a full tank have? - Bath
In the bath is 30 liters of hot water. Then we added 36 liters of cold water at a temperature of 19 °C and decreased the temperature of water to 41 °C. What was the initial temperature of the hot water? - The pool
The pool has a volume of 40 m3, and the water temperature is 20 °C. How much water at 100 °C should we pour into the pool to increase the water temperature by 5 °C? - Rectangle pool
Find dimensions of an open pool with a square bottom with a capacity of 32 m³ to have painted/bricked walls with the least amount of material. - Hexagonal prism 2
The regular hexagonal prism has a surface of 140 cm² and a height of 5 cm. Calculate its volume. - Pool
The pool is filled with two water supplies. The first supply fill pool for nine hours, and the second for six hours. How many hours will it take to fill the pool when the water flows in through the first supply for 3 hours, and then we will open a second - Tank 9
The tank with volume V is filled with one pump for three hours and by the second pump for 5 hours. When both pumps run simultaneously, calculate: a) how much of the total volume of the tank is filled in one hour b) for how long is the tank full - Tributaries 7678
We filled the pool with two tributaries: the first in 5 hours and the second in 8 hours. The father came and drained 1/8 of the water. How long before the pool fills with both tributaries? - Five-sevenths 4789
Forty-two liters of water fill the barrel to two-thirds of its volume. How many liters of water do we need to add if it is filled to five-sevenths of a volume? - Alcohol
How much 56% alcohol do we need to pour into 22 liters 78% alcohol to get p3% alcohol? How much 76% alcohol do we get? - Liters 83211
We have 160 L of water at 67°C; how many liters of cold water at 18°C are needed to cool it to 39°C? - Contains 80440
Cow's milk contains an average of 3.6% fat. How many liters of milk are needed to make 250g of butter? Butter contains 82% fat. - The cylinder
In a rotating cylinder, it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder. - Filled 5265
The tank is filled to two-thirds of its volume. It will only be half full if we pump 100l of water from it. What is the volume of this tank? - Removing 3205
The baker filled the bakery flour hopper to 3/4 volume. After removing 875 kg of flour, he filled it with only 2/5 of the volume. How many tons of flour is in the full hopper? - Truncated pyramid
The truncated regular quadrilateral pyramid has a volume of 74 cm3, a height v = 6 cm, and an area of the lower base 15 cm² greater than the upper base's area. Calculate the area of the upper base. - Cuboid walls
Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm². - Stadium
A domed stadium is shaped like a spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the dome's height at its center to the nearest tenth of a meter. - 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?
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