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A cylindrical stool has a base of diameter 70 cm and height 25 cm find the cost of painting 50 such stools if the cost per m sq is rs 55.

Sagot :

MrRoyal

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]

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