Volume + length - math problems

Number of problems found: 215

  • Sphere
    The surface of the sphere is 12100 cm2, 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 m3 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/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.
  • 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 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?
  • 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 mm2. 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/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

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