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A cylindrical pillar is 50 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.12.50 per m^2. - Mathematics

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Question

A cylindrical pillar is 50 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.12.50 per m2.

`["Assume "pi=22/7]`

 

Solution

Height (h) cylindrical pillar = 3.5 m

Radius (r) of the circular end of pillar = 50/2 = 25cm = 0.25m

CSA of pillar = 2πrh

`=(2xx22/7xx0.25xx3.5)m^2`

`=(44xx0.125)m^2`

 = 5.5 m2

Cost of painting 1 marea = Rs 12.50

Cost of painting 5.5 m2 area = Rs (5.5 × 12.50)

= Rs 68.75

Therefore, the cost of painting the CSA of the pillar is Rs 68.75.

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Chapter 13: Surface Area and Volumes - Exercise 13.2 [Page 217]

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NCERT Mathematics [English] Class 9
Chapter 13 Surface Area and Volumes
Exercise 13.2 | Q 5 | Page 217

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