Question

Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 liter tin of paint in his store and decides to paint the tank (not the base). If he uses 250ml to cover 1m^2, will he have enough paint to cover the tank with one layer of paint? ( Take π = 3.142)

Answer 1

Answer:

There is enough paint to cover the tank with one layer of paint.

Step-by-step explanation:

Given the cilindrical configuration of the tank and supposing that only external face must be painted, the surface area of the section (lateral wall + lid) can be calculated by the following expression:

$A_{s} = 2\pi\cdot r\cdot h + \pi\cdot r^{2}$

Where $r$ and $h$ represent the radius and the height of the cube, respectively.

If $r = 0.55\,m$ (a diameter is two times the length of radius) and $h = 1.4\,m$, the intended surface area is:

$A_{s} = 2\pi\cdot (0.55\,m)\cdot (1.1\,m)+\pi\cdot (0.55\,m)^{2}$

$A_{s} \approx 4.751\,m^{2}$

It is known that 250 mL of paint are needed to cover a square meter of the surface area, the needed amount of paint to cover the required area is estimated by simple rule of three:

$Q = \frac{4.751\,m^{2}}{1\,m^{2}}\times (250\,mL)$

$Q = 1187.75\,mL\,(1.188\,L)$

In consequence, there is enough paint to cover the tank with one layer of paint.