# The volume of problems

#### Number of problems found: 1056

• Special cube Calculate the edge of cube, if its surface and its volume is numerically equal number.
• Cube The sum of lengths of cube edges is 57 cm. What is its surface and volume?
• Transforming cuboid Cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length?
• Pipes The water pipe has a cross-section 1087 cm2. An hour has passed 960 m3 of water. How much water flows through the pipe with cross-section 300 cm2 per 9 hours if water flows the same speed?
• Rotating cone Calculate volume of a rotating cone with base radius r=12 cm and height h=7 cm.
• Gold wire From one gram of gold was pulled wire 2.1 km length. What is its diameter if the density of Au is ρ=19.5 g/cm3?
• Conserving water Calculate how many euros are spent annually on unnecessary domestic hot water, which cools during the night in pipeline. Residential house has 129 m of hot water pipelines 5/8" and the hot water has a price of 7 Eur/m3.
• Sphere slices Calculate the volume and surface of a sphere if the radii of parallel cut r1=31 cm, r2=92 cm, and its distance v=25 cm. Calculate the edge of the cube made ​​from lead, which weighs 19 kg. The density of lead is 11341 kg/m3.
• Cone and cube About what percentage hase cone with base radius r larger volume than same high cube with square base with edge length r?
• Pump What power has a pump output to move 4853 hl of water to a height of 31 m for 8 hours?
• Truncated cone Calculate the volume of a truncated cone with base radiuses r1=13 cm, r2 = 10 cm and height v = 8 cm.
• Copper sheet The copper plate has a length of 1 m, width 94 cm and weighs 9 kg. What is the plate thickness, if 1 m3 weighs 8715 kg?
• Cylinder Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height is equal to the base's diameter.
• Car range Kia has an average diesel consumption of 3.9 liters per 100 kilometers. What is the range of the car for 179 euros if fuel costs 1.3 EUR/liter, if the tank has a volume of 55 liters?
• Fuel consumption Škoda car has an average diesel consumption of 5.9 liters per 100 kilometers. What is the car range for a full tank of volume 70 liters?
• Wood in the forest The amount of wood in the forest was estimated at 6000 m3. How much wood will be in forest after 2 years if the annual growth of wood is 2.5% each year and logging 30 m3 each year?
• Air mass What is the weight of the air in a classroom with dimensions 10 m × 10 m × 2.7 m ? The air density is 1.293 kg/m3.
• Barrel of oil Barrel of oil weighs 283 kg. When it mold 26% oil, weighed 216 kg. What is the mass of the empty barrel?
• Solid in water The solid weighs in air 16.1 kg and in water 13 kg. Calculate the density of the solid.

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