a cylindrical pillar is 60 cm in diameter and 3.5 m in height. find the cost of painting the curved surface of the pillar at the rate of Rs. 15 per square meter
Answers
The cost of painting the curved surface of the pillar is ₹98.91
Explanation:
Given:
1. A cylindrical pillar is 60 cm in diameter and 3.5 m in height
2. Cost of painting the curved surface of pillar at the rate of Rs. 15 per sq.m
To find:
The cost of painting the curved surface of the pillar
Formula:
Area of the curved Surface = 2πrh sq.m
From the given condition,
Diameter = 60cm
Height = 3.5m
we know that, Radius = Diameter/2
Radius = 60/2
Radius = 30cm
==> Convert cm into m
Radius = 30cm
1 cm = 0.01m
30 cm = 0.01×30 m
30 cm = 0.3 m
Radius = 0.3m
Height = 3.5 m
Substitute the Radius and Height in the given formula
Area of the curved Surface = 2πrh sq.m
A = 2π(0.3)(3.5) sq.m
A = 2π(1.05) sq.m
A = 2.1π sq.m
A = 2.1(3.14) sq.m
Area of the curved Surface = 6.594 sq.m
To find the cost of 6.594 sq.m
1 sq.m = ₹15
6.594 sq.m = 15×6.594
6.594 sq.m = ₹98.91
The cost of painting the curved surface of the pillar is ₹98.91