Question

TSA Of Cylinder is 462cm². If The CSA Of A Cylinder is One-Third Of TSA . Find The Volume .

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Answer 1

Answer:

TSA = Area of 2 faces + CSA

=2πr^2 + πrh

CSA = 1/3 TSA

TSA = 3 CSA = Area of 2 faces + CSA

=> 2 CSA = Area of 2 faces

=> CSA = Area of face

=>π X r X h = π X r X r

r= h

TSA = 3 π r^2 = 3 X 22/7 X r X r = 462

r X r = (462 X 7)/66

= 7 X 7

=> r = 7

h = 7

Volume = π X r X r X r

= 22/7 X 7 X 7 X 7

= 22 x 49

= 1051 cm^3