A cylindrical water tank has a diameter of 9 ft and a height of 12 ft. the water surface is 2 ft from the top. about how much water is in the tank? 509 ft3 636 ft3 2,798 ft3 2,543 ft3

Respuesta :

I think the answer your looking for is 636 ft ^3

Answer:

Option 2 is correct.

Step-by-step explanation:

We have been given diameter of the tank 9 ft and height of the cylindrical water tank 12 ft

Radius is half of diameter that is 9/2=4.5

Since, water surface is 2 ft from the top

New height will become 12-2=10 ft

We have to find how much water tank contains means the capacity of tank to contain water

We will find volume of the cylindrical water tank by using formula:

[tex]volume=\pi\cdot r^2\cdot h[/tex]

On substituting the values r=4.5,h=10 and[tex]\pi=3.14[/tex]we get

[tex]volume=3.14\cdot (4.5)^2\cdot 10[/tex]

[tex]\Rightarrow volume=3.14\20.25\cdot 10[/tex]

[tex]\Rightarrow volume=635.85=636 ft^3[/tex]

Therefore,Option 2 is correct.