Question

14 find the surface area of the tank if the height is 80\ and the diameter is 16\, sa = 2πra+2πr²: a 4423.36 in² b 8754.49 in² c 6246.94 in² d 9550.97 in²

Explanation:

Step1: Calculate the radius

Given diameter $d = 16$, radius $r=\frac{d}{2}=\frac{16}{2}=8$.

Step2: Identify the height

Height $h = 80$.

Step3: Substitute values into surface - area formula

The surface - area formula of a cylinder is $SA=2\pi rh+2\pi r^{2}$. Substitute $r = 8$ and $h = 80$ into the formula:
$SA=2\pi\times8\times80+2\pi\times8^{2}$
$SA = 1280\pi+128\pi$
$SA=1408\pi$.

Step4: Calculate the numerical value

Using $\pi\approx3.14$, we have $SA\approx1408\times3.14 = 4423.12\approx4423.36$ (due to possible rounding differences in the original options).

Answer:

A. $4423.36$ in$^{2}$