Question

Holding tanks for hazardous liquids are often surrounded by containment tanks that will begins to leak. And the graphic below, has a 16 ft and radius of 6 feet. The height of 4 ft and a radius of 8 ft. If the center tank is full of heating fuel and develops a leak at the bottom, will the container be able to hold all the heating fuel that leaks out?

Volume of the holding tank= ______ ft^3

Volume of the containment tank= ______ ft^3​

Answer 1

9514 1404 393

Answer:

  no

Step-by-step explanation:

The volume of each cylinder is given by ...

  V = πr²h

The volume of the holding tank is ...

  V = 3.14(6 ft)²(16 ft) = 1808.64 ft³

The volume of the containment is ...

  V = 3.14(8 ft)²(4 ft) = 803.84 ft³

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The containment will not hold all the fuel. The radius of the containment would have to be 12 ft to have the same volume as the holding tank.