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.

Explanation:

The formula for the volume of cylinder is,

$V=\frac{\pi d^2h}{4}$

(a)

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

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

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.