Answer:
[tex]Cost = Rs.3630[/tex]
Step-by-step explanation:
Given
[tex]d = 70cm[/tex] --- Diameter
[tex]h = 25cm[/tex] --- Height
[tex]Cost = Rs.55[/tex]
[tex]Cylinders = 50[/tex]
First, we calculate the surface area of 1 cylinder
This is calculated as:
[tex]SA=2\pi r(r + h)[/tex]
The radius is calculated as:
[tex]r =\frac{1}{2}d[/tex]
[tex]r =\frac{1}{2}*70[/tex]
[tex]r = 35[/tex]
The expression becomes:
[tex]SA=2 * \frac{22}{7} * 35(35 + 25)[/tex]
[tex]SA=2 * \frac{22}{7} * 35 * 60[/tex]
[tex]SA=2 * 22 * 5 * 60[/tex]
[tex]SA=13200cm^2[/tex]
Convert to [tex]m^2[/tex]
[tex]SA=\frac{13200m^2}{10000}[/tex]
[tex]SA=1.32\ m^2[/tex]
The surface area of 50 of such is:
[tex]Total = 50 * 1.32m^2[/tex]
[tex]Total = 66m^2[/tex]
The cost is then calculated as:
[tex]Cost = 66 * Rs.55[/tex]
[tex]Cost = Rs.3630[/tex]
