Equation + volume - practice problems - page 12 of 13
Number of problems found: 241
- Sphere in cone
A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions. - Sphere and cone
Within the sphere of radius G = 33 cm, inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone? - Aircraft
The aircraft has a fuel tank 68 hl of aviation fuel, and flight consumes 3.6 liters of fuel. Identify the function that expresses the dependence of the fuel volume in the tank on the track distance plane flew by. How many hectoliters of fuel is still in t - Pool 2
The first supply is by the pool fill for five hours and the second fill for six hours. The drain should be drained for 15 hours. How many hours is the pool full when we open both inlets now, and the outlet opens two hours later?
- Sugar - cuboid
Pablo received from his master a cuboid composed of identical sugar cubes with a count between 1000 and 2000. The Pejko eat sugar cubes in layers. On the first day, eat one layer from the front. On the second day, one layer from the right, and on the thir - Alcohol 2
Two types of alcohol, one 46% and second 64%, give 16 liters of 54% alcohol. How many liters of each type are in the mixture? - Truncated cone
Calculate the height of the rotating truncated cone with volume V = 1354 cm³ and a base radii r1 = 9.1 cm and r2 = 5.4 cm. - Swimming pool
The pool shape of a cuboid is 299 m³, full of water. Determine the dimensions of its bottom if the water depth is 282 cm and one bottom dimension is 4.7 m greater than the second. - Fertilizer
Mr. Gherkin uses for fertilization 10% solution of fertilizer. 5 liters of it still left. How much water must be added to the solution to make only the 7% solution?
- Sea water
Seawater contains about 5% salt. How many dm³ of distilled water must we pour into 39 dm³ of seawater to get water with 1.6% salt? - 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? - Sea water
Mixing 62 kg of seawater with 84 kg rainwater is created water containing 3.1% salt. How much percent of seawater contains salt? - Vinegar 2
How many percentages of vinegar solution will we get if we mix 3.5 liters of 5.8% and 5 liters of 7.6% vinegar? - 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?
- Spherical cap
From the sphere with a radius of 11 was a truncated spherical cap. Its height is 6. What part of the volume is a spherical cap from the whole sphere? - Rectangular cuboid
The rectangular cuboid has a surface area 5447 cm², and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid. - 2x cone
Circular cone height 84 cm was cut plane parallel with the base. The volume of these two small cones is the same. Calculate the height of the smaller cone. - Vinegar
We must dilute 16 liters of 8.8% aqueous vinegar to 4.1% one. How much water is necessary to add? - Cuboid
Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm³. Calculate the length of the other edges.
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