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?
• 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.
• 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?
• 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.
• 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
• Weight of air
  What is the weight of air in the living room measuring width 8 m length 5 m and height 3.1 m? Air density is ρ = 1.2959 kg/m³.
• An aquarium
  An aquarium tank that measures 2.4 m high, 6 m long, and 1.5 m wide and is completely filled with water. The density of water is 1,000 kg/m³. What is the mass of the water in the tank?
• 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.
• Wood cuboid
  What is the weight of the wood cuboid 15 cm, 20 cm, 3 m if 1 m³ wood weighs 800 kg?
• 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.
• 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 plate
  Copper plate length 3.2 m and width 50 cm weighs 55.42 kg. What is the plate thick, if 1 m³ of copper weighs about 8700 kg?
• The glass
  1 m³ of glass weighs 2600 kg. Calculate the weight of the glass glazing panel with dimensions of 2.5 m and 3.8 m if the thickness of the glass is 0.8 cm
• Rails
  18 m railway weighs 1260 kg. How much weighs 100 m of welded railways?
• Tess bought
  Tess bought 6 dressed chickens. Their weights are tagged as follows: 1.4 kg, 1.9 kg, 2.05 kg, 0.94 kg, 1.1 kg and 1.45 kg. What is the total weight of the six chickens
• 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?
• Glass door
  What is the weight of glass door panel 5 mm thick height 2.1 meters and a width of 65 cm and 1 cubic dm of glass weighs 2.5 kg?