find the cost of painting 15 cylindrical pillars of a building at 2.50 per square metre if the diameter and height of each pillar are 48cm and 7 m
Answers
Given,
Total number of cylindrical pillars = 15
Diameter of each pillar = 48 cm
Height of each pillar = 7 m
Cost of painting each square meter of the pillars = Rs 2.5
To find,
The total cost of painting all the pillars.
Solution,
We can simply solve this mathematical problem using the following process:
As per mensuration;
The lateral surface area of a cylinder
= 2π(radius)(height)
= 2π(diameter/2)(height)
= π(diameter)(height)
{Statement-1}
Now, according to the question and statement-1;
The lateral surface area of each cylindrical pillar
= π(diameter)(height)
= π(48 cm)(7 m)
= π(0.48 m)(7 m)
{Since 1 cm = 1/100 m}
= (22/7)(0.48 m)(7 m)
= (22×0.48) m^2
= 10.56 m^2
Now, the total lateral surface area of all 15 cylindrical pillars
= 15 × (lateral surface area of each cylindrical pillar)
= (15 × 10.56) m^2
= 158.4 m^2
Now, according to the question;
Total area to be painted
= (total lateral surface area of all 15 cylindrical pillars)
= 158.4 m^2
Now, the total cost of painting all the pillars
= (total lateral surface area of all 15 cylindrical pillars)×(cost of painting each square meter of the pillars)
= 158.4 m^2 × Rs. 2.50
= Rs. 396
Hence, the total cost of painting all the pillars is equal to Rs. 396.