In a building there are 30 cylindrical pillars. The radius of each pillar is 42 m and height is 7 m. Find the total cost of painting the curved surface area of all pillars at the rate of Rs 10 per square meter.

Respuesta :

Answer:

The total cost of painting the curved surface area of all pillars at the rate of Rs 10 per square meter is Rs.554400.

Step-by-step explanation:

Given : In a building there are 30 cylindrical pillars. The radius of each pillar is 42 m and height is 7 m.

To find : The total cost of painting the curved surface area of all pillars at the rate of Rs 10 per square meter ?

Solution :

Radius of each pillar r= 42 m

Height of each pillar h= 7 m

The curved surface area of each pillar is [tex]CSA=2\pi rh[/tex]

Substitute the value,

[tex]CSA=2\times \frac{22}{7}\times 42\times 7[/tex]

[tex]CSA=1848\ m^2[/tex]

Area of 30 pillars is given by,

[tex]A=1848\times 30=55440\ m^2[/tex]

The curved surface area of all pillars at the rate of Rs.10 per square meter.

The cost painting is [tex]C=55440\times 10=Rs.554400[/tex]

Therefore, the total cost of painting the curved surface area of all pillars at the rate of Rs 10 per square meter is Rs.554400.