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CBSE Class 9 Answered

My question is that if we have circumference of base and the height of a cylinder.Can we able to find its volume without calculating its radius. If yes then how?
Asked by dimplesharma0810 | 05 Feb, 2016, 03:36: PM
answered-by-expert Expert Answer
begin mathsize 14px style V o l u m e space o f space c y l i n d e r space i s space g i v e n space b y space πr squared straight h. Circumference space of space Base space left parenthesis straight C right parenthesis space and space height space left parenthesis straight h right parenthesis space is space given. Now comma space circumference equals straight C equals 2 πr space amd space height equals straight h If space we space want space to space convert space formula space of space volume space of space cylinder space wherein space circumference space and space height space to space be space included space and space radius space not space to space be space included comma space we space have space to space square space the space circumference comma space straight i. straight e. comma space straight C squared equals left parenthesis 2 πr right parenthesis squared equals 4 straight pi squared straight r squared And space then comma space Volume equals fraction numerator straight C squared straight h over denominator 4 straight pi end fraction. open parentheses because fraction numerator straight C squared straight h over denominator 4 straight pi end fraction equals fraction numerator 4 straight pi squared straight r squared cross times straight h over denominator 4 straight pi end fraction equals πr squared straight h space equals space which space is space same space as space formula space for space volume space of space cylinder close parentheses end style
Answered by Rashmi Khot | 05 Feb, 2016, 05:43: PM
CBSE 9 - Maths
Asked by remsindi | 18 Jul, 2021, 06:11: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Topperlearning User | 13 Oct, 2017, 01:47: PM
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