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CBSE Class 9 Answered

The curved surface area of a cylinder of height h is 6πrh. Find the area of its base.
Asked by tkguha | 14 Mar, 2016, 07:59: PM
answered-by-expert Expert Answer
G i v e n space t h a t space t h e space h e i g h t space o f space t h e space c y l i n d e r space i s space h.
C u r v e d space s u r f a c e space a r e a space o f space a space c y l i n d e r space equals space 2 πrh
Since space the space curved space surface space area space of space the space given space cylinder space is space 6 πrh space equals space 3 space left parenthesis 2 πrh right parenthesis space and space the space height space of space the space cylinder space is space straight h comma space it space means space that space the space radius space of space the space base space is space 3 straight r.
Area space of space the space base space of space the space cylinder space equals space straight pi left parenthesis radius right parenthesis squared
rightwards double arrow Area space of space the space base space of space the space cylinder space equals space straight pi left parenthesis 3 straight r right parenthesis squared
rightwards double arrow Area space of space the space base space of space the space cylinder space equals space 9 πr squared
Answered by Rebecca Fernandes | 15 Mar, 2016, 10:44: AM
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