a cylindrical pillar has a diameter of 56 cm and is of 35 m high there are 16 pillars around the building find the cost of the painting the curved surface area of all the pillars at the rate of 5.50 rs per 1 m.sq
Answers
Given,
A cylindrical pillar, diameter = 56cm = 0.56m
i.e. r = 0.28cm
Height h = 35m
Number of pillars n = 16
Curved surface area of a pillar = 2πrh
= 2 × 3.14 × 0.28 × 35
= 61.54cmCurved surface area of 16 pillars = 16 × 61.54
= 984.64cm2
Cost of painting = 5.5 × 984.64
= 5415.52
Answer:
Rs 5415.872
Step-by-step explanation:
The diameter of the cylindrical tower = 56 cm .
Radius = diameter / 2 .
➡ Radius = 56 cm / 2
➡ Radius = 28 cm .
The curved surface area refers to the area surrounding the pillar .
The area of cross section is nothing but a circle . Hence the perimeter of the circle and the height are multiplied .
Curved surface area = 2 π r h
h = 35 m
r = 28 cm
➡ r = 0.28 m
There are 16 pillars . So multiply the whole thing with 16 .
Total curved surface area
➡ 16 × 0.28 m × 35 m × 2 × 3.14
➡ 9.8 × 2 × 3.14 × 16
➡ 61.544 × 16 m²
➡ 984.704 m²
Since Rs 5.5 is for 1 m² , then :
Cost = Rs 5.5 × 984.704 m²