Answer:
[tex]Rs. 1056[/tex]
Step-by-step explanation:
Given: Diameter of each pillar= 1.4m
Height= 6m
Cost of painting the curved surfaces of all the pillars at the rate of Rs [tex]10\ per\ m^{2}[/tex]
First lets find out radius of each pillar.
Radius (r)= [tex]\frac{Diameter}{2}[/tex]
∴ Radius (r)= [tex]\frac{1.4}{2} = 0.7\ m[/tex]
Now, finding area of cylindrical pillar.
Formula; Area of curved surface= [tex]2\pi rh[/tex]
⇒ Area of curved surface= [tex]2\times \frac{22}{7} \times 0.7\times 6 = 26.4\ m[/tex]
∵ There are four cylindrical pillars.
∴ Curved surface area of four pillar= [tex]4\times 26.4\ m= 105.6\ m^2[/tex]
Curved surface area of four pillar is 105.6 m²
Next, finding the cost of painting the pillars.
As given, cost of painting is Rs 10 per m².
∴ Cost of painting 105.6 m²= [tex]10\times 105.6 m^{2} = Rs. 1056[/tex]
∴ The cost of painting the curved surfaces of all the pillars is Rs.1056.
