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50 circular paltes each of radius 7 cm a...

50 circular paltes each of radius 7 cm and thickness 0.5 cm are placed one above the other to form a solid right circular cylinder .Find (i) the total surface area and (ii) the volume of the cylinder so formed.

Text Solution

Verified by Experts

The correct Answer is:
60508.8 `m^(2)`
The height of the cylinder formed by placing 50 plates =`50xx0.5`=25 cm
Radius of cylinder formed =Radius of plate =7cm
(i) Total surface area of cylinder =`2pirh+2pir^(2)`
`=[(2xx(22))/(7)xx7xx25+2xx(22)/(7)xx(7^(2))]cm^(2)`
`=(1100+308)cm^(2)=1408 cm^(2)`
(ii) volume of cylinder =`pir^(2)h=(22)/(7)xx(7^(2))xx25`=3850 `cm^(3)`
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