Question

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.

Answer 1

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

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
`CSA=2\pi rh`

Substitute the value,

`CSA=2* (22)/(7)* 42* 7`

`CSA=1848\ m^2`

Area of 30 pillars is given by,

`A=1848* 30=55440\ m^2`

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

The cost painting is
`C=55440* 10=Rs.554400`

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.