Question

the diameter of a cylindrical water tank is 8 ft and height is 12ft what is rge exact volume of the tank. write your answer in terms of n

Answer 1

Given:

The diameter of cylinder is d = 8 ft.

The height of cylinder is h = 12 ft.

Step-by-step explanation:

The formula for the volume of cylinder is,

`V=(\pi d^2h)/(4)`

(a)

Substitute the values in the formula to determine the volume of cylinder.

`\begin{gathered} V=(\pi\cdot(8)^2\cdot12)/(4) \\ =192\pi\text{ ft\textasciicircum{}3} \end{gathered}`

So exact volume of cylinder (in terms of pi) is,

`192\pi\text{ ft\textasciicircum{}3}`

(b)

Determine the approximate volume of cylinder.

`\begin{gathered} V=192\pi \\ =603.185 \\ \approx603.19\text{ ft\textasciicircum{}3} \end{gathered}`

So approximate volume of cylinder is 603.19 ft^3.