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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 12.50 per `M^2`. - CBSE Class 9 - 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 12.50 per `m^2`.

Solution

Given that
Height of the pillar = 3.5m
Radius of the circular end of the pillar=`50/2`cm
=25cm=0.25m
Curved surface area of pillar = 2πrh

=2 ×`22/7× 0.25 × 3.5m^2`

`=5.5m^2`

Cost of painting 21m area – Rs 12.50 
Cost of painting `5.5m^2 area Rs.(5.5 × 12.50)
=Rs. 68.75.
Thus, the cost of painting the CSA pillar is Rs. 68,75

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APPEARS IN

 RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 19: Surface Areas and Volume of a Circular Cylinder
Ex.19.10 | Q: 3 | Page no. 8
Solution 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 12.50 per `M^2`. Concept: Surface Area of a Right Circular Cylinder.
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