Volume + length - practice problems - last page
Number of problems found: 451
- Conserving water
Calculate how many euros are spent annually on unnecessary domestic hot water, which cools during the night in the pipeline. The 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 a parallel cut r1=32 cm, r2=47 cm, and its distance v=21 cm. - Cone and cube
About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r? - Copper sheet
The copper plate has a length of 2.2 m, width 92 cm, and weighs 5.6 kg. What is the plate thickness if 1 m³ weighs 8732 kg?
- Cylinder
Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height equals the base's diameter. - Car range
Kia has an average diesel consumption of 5 liters per 100 kilometers. What is the range of the car for 135 euros if fuel costs 1.4 EUR/liter, if the tank has a volume of 51 liters? - Floating barrel
The barrel (cylinder shape) floats on water, the top of the barrel is 8 dm above water, and the width of surfaced barrel part is 23 dm. Barrel length is 24 dm. Calculate the volume of the barrel. - Aquarium
An aquarium is a rectangular box with a square base containing 76 liters of water. The length of the base edge is 42 cm. To what height does the water level rise? - Cu thief
The thief stole 142 meters copper wire with a cross-section area of $s mm². Calculate how much money gets in the scrap redemption if redeemed copper for 5.3 Eur/kg. The density of copper is 8.96 t/m³.
- Sandpile
Auto sprinkled with sand to an approximately conical shape. Workers wanted to determine the volume (amount of sand) and therefore measure the base's circumference and the length of both sides of the cone (over the top). What is the sand cone's volume if t - Eiffel Tower
Eiffel Tower in Paris is 300 meters high and is made of steel. Its weight is 8000 tons. How tall is the tower model made of the same material if it weighs 1.8 kg?
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