Question

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​

Answer 1

D. 310.86 L

Explanation:

`\textsf{Volume of a cylinder}=\pi r^2h`

where:

• 
  `r` is the radius
• 
  `h` is the height

Given:

• r = 0.3 m
• h = 1.1 m
• 
  `\pi` = 3.14

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

`\sf 1\:liter = 1000\:cm^3`

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

`\implies \sf 1\:liter =(1000)/(1,000,000) = 0.001\:m^3`

`\implies \sf \textsf{Volume of the tank}=(0.31086)/(0.001)=310.86\:L`