Water reservoir

What is the weight of a metal reservoir - cylinder with a diameter of 2 m and a length 8 m, if 1 m² of sheet metal weighs 100 kg?

Correct answer:

m =  5026.5482 kg

Step-by-step explanation:

$$\begin{gathered} D=2\text{ m } \\ l=8\text{ m } \\ r=D\mathrm{/}2=2\mathrm{/}2=1\text{ m } \\ {S}_1=p\cdot r^2=p\cdot 1^2=0{\text{m}}^2 \\ {S}_2=\pi \cdot D\cdot l=3.1416\cdot 2\cdot 8\doteq 50.2655{\text{m}}^2 \\ S=2\cdot S_1+S_2=2\cdot 0+50.2655\doteq 50.2655{\text{m}}^2 \\ h=100{\text{kg/m}}^2 \\ m=h\cdot S=100\cdot 50.2655=5026.5482\text{ kg} \end{gathered}$$

Try another example

Related math problems and questions:

• Copper wire
  What is the weight in kg of copper wire 200 m long with a diameter of 0.6 cm, if the density of copper is 8.8 kg?
• Reservoir + water
  The reservoir filled with water weighs 12 kg and after pouring off three-quarters of the water weights 3 kg. Calculate the weight and volume of the reservoir.
• Cuboid 5
  Calculate the mass of the cuboid with dimensions of 12 cm; 0.8 dm and 100 mm made from spruce wood (density = 550 kg/m³).
• 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?
• Pipe
  How long is the pipe with an outside diameter of 0.87 m if his coloring consumed 10 kg of color. 1 kg of color coverage is 6 m².
• Iron sphere
  Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface and diameter of the sphere.
• Steel tube
  The steel tube has an inner diameter of 4 cm and an outer diameter of 4.8 cm. The density of the steel is 7800 kg/m³. Calculate its length if it weighs 15 kg.
• Wood lumber
  Wooden lumber is 4 m long and has a cross section square with side 15 cm. Calculate: a) the volume of lumber b) the weight of the lumber if 1 m³ weighs 790 kg
• Cu wire
  Copper wire has a length l = 820 m and diameter d = 10 mm. Calculate the weight if density of copper is ρ = 8500 kg/m³. Result round to one decimal place.
• Lid
  What is the weight of concrete cover (lid) to round shape well with a diameter 1.8 m, if the thickness of the cover is 11 cm? 1 m³ of concrete weighs 2190 kg.
• Oak trunk
  Calculate in tonnes the approximate weight of a cylindrical oak trunk with a diameter of 66 cm and a length of 4 m, knowing that the density of the wood was 800 kg/m³.
• AL wire
  What is the weight of an aluminum wire 250 m long with a diameter of 2 mm, if the density of aluminum is p = 2700 kg/m cubic. Determine to the nearest gram.
• Wood cuboid
  What is the weight of the wood cuboid 15 cm, 20 cm, 3 m if 1 m³ wood weighs 800 kg?
• Weight of air
  What is the weight of air in the living room measuring width 10 m length 3 m and height 3.3 m? Air density is ρ = 1.2 kg/m³.
• Potatoes
  When planting potatoes there are consumed 3 500 kg of seed per 1 ha. Calculate the weight of the seed needed for fitting a square area with a side length 325 meters.
• The water tank
  The water tank has the shape of a sphere with a radius of 2 m. How many liters of water will fit in the tank? How many kilograms of paint do we need to paint the tank, if we paint with 1 kg of paint 10 m²?
• Canopy
  Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. How many kg of color must he buy if the manufacturer specifies the consumption of 1 kg to 3.3 m²?