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4. A liter is equal to 1000 cm3. How many liters of water are needed to fill a cylindrical tank that is 1.1 m long and a radius of 0.3 m? A. 150.72 L B. 200.27 L C. 300.72 L D. 310.86 L hold nn ml water How much​

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semsee45

Answer:

D.  310.86 L

Step-by-step explanation:

[tex]\textsf{Volume of a cylinder}=\pi r^2h[/tex]

where:

  • [tex]r[/tex] is the radius
  • [tex]h[/tex] is the height

Given:

  • r = 0.3 m
  • h = 1.1 m
  • [tex]\pi[/tex] = 3.14

[tex]\implies \sf \textsf{Volume of the tank}=(3.14)(0.3)^2(1.1)=0.31086\:m^3[/tex]

[tex]\sf 1\:liter = 1000\:cm^3[/tex]

To convert cubic cm to cubic meters, divide by 1,000,000:

[tex]\implies \sf 1\:liter =\dfrac{1000}{1,000,000} = 0.001\:m^3[/tex]

[tex]\implies \sf \textsf{Volume of the tank}=\dfrac{0.31086}{0.001}=310.86\:L[/tex]

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