Question

If a plant manufacturing carpet backing has a cylindrical tank that is 3 meters high and is 6 meters in diameter, what is the volume of the tank? Assume 3.14 for pi. A) 28.3 m3 B) 37.7 m3 C) 56.5 m3 Eliminate D) 84.8 m3

Answer 1

For a cylindrical tank, volume = πr²h

Where r = radius = diameter/2 = 6/2 = 3m
height , h = 3m

Volume = 3.14 * 3² * 3 = 84.78

Volume ≈ 84.8 m³

Option D.

Answer 2

(D)
`V`≈
`84.8m^3`

Explanation:

It is given that If a plant manufacturing carpet backing has a cylindrical tank that is 3 meters high and is 6 meters in diameter, thus the radius of the cylindrical tank is given as:

`Diameter=(Radius)/(2)=(6)/(2)=3m`

and the height is=6m.

Now, the volume of the cylindrical tank is given as:

`V={\pi}r^2h`

Substituting the given values, we get

`V=3.14(3)^2(3)`

`V=3.14(27)`

`V=84.78m^3`

`V`≈
`84.8m^3`

Hence, the volume of the cylindrical tank is
`84.8m^3`.

Thus, option D is correct.