Respuesta :

Answer:

96π cu ft.

Step-by-step explanation:

V = Bh      B = area of the base     h = height

The base is a circle, so [tex]B = \pi r^{2} = \pi 4^{2} = 16\pi[/tex]

V = 16π(6) = 96π cu ft.

The volume of the cylinder is 301. 6 cu. ft.

What is the volume of the cylinder?

[tex]V=\pi \times r^2\times h[/tex]

where r is the radius of the cylinder and h is the height of the cylinder

For given question,

The radius of a cylindrical water tank is 4 ft, and its height is 6 ft,

[tex]\Rightarrow r=4~ft,~h=6~ft[/tex]

We need to find the volume of the cylinder.

Using the formula of the volume of the cylinder,

[tex]\Rightarrow V=\pi \times r^2\times h\\\\\Rightarrow V=\pi \times 4^2\times 6\\\\\Rightarrow V=\pi \times 16 \times 6\\\\\Rightarrow V =301.6~~cu.ft.[/tex]

Therefore, the volume of the cylinder is 301. 6 cu. ft.

Learn more about the volume of the cylinder here:

https://brainly.com/question/16134180

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