# Volume + length - math problems

#### Number of problems found: 215

- Sphere

The surface of the sphere is 12100 cm^{2}, and the weight is 136 kg. What is its density? - Shots

5500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter? - Rainfall

Annual rainfall in our country is an average of 797 mm. How many m^{3}of water rains on average per hectare? - 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? - 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/cm^{3}? - 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/m^{3}. - Sphere slices

Calculate the volume and surface of a sphere if the radii of parallel cut r_{1}=31 cm, r_{2}=92 cm, and its distance v=25 cm. - 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? - 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 m^{3}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? - Floating barrel

Barrel (cylinder shape) floats on water, 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

Aquarium is rectangular box with square base containing 76 liters of water. Length of base edge is 42 cm. To what height the water level goes? - Cu thief

The thief stole 121 meters copper wire with a cross-section area of 103 mm^{2}. Calculate how much money gets in the scrap redemption if redeemed copper for 4.6 Eur/kg? The density of copper is 8.96 t/m^{3}. - 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

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