C.s.a. of cylinderical pillar is 264 m sq and its volume is 924 m cube find its diameter and height
Answers
Given:-
C.S.A = 264 m sq.
Volume = 924 m cube.
radius and height are not given
so,
let radius be 'r'
and let height be 'h'
(we have to find diameter and height )
C.S.A = 2πrh
= 264 = 2 X 22/7 X r X h
= 264 = 44/7 X rh
= 264 X 7/44 = rh
= 6 X 7 = rh
= 42 = rh
we got the value of rh = 42
Volume = πr^2h
= 924 = 22/7 X r X r X h
(put the value of rh = 42)
= 924 = 22/7 X r X 42
= 924 X 7/22 = 42 r
= 42 X 7= 42 r
= 294 = 42 r
= 294/42 = r
= 7 = r
so radius = 7m
now height ,
as r X h = 42
and r =7
so
= 7 X h = 42
= h = 42/7
= h = 6
we get radius = 7m
height = 6m
so
as diameter = 2r
diameter = 2 X 7
diameter = 14m
CHECK
radius = 7m
height = 6m
C.S.A = 2πrh
= 2 X 22/7 X 7 X 6
= 44/7 X 42
= 44 X 6
= 264 m sq.
Volume = πr^2h
= 22/7 X 7 X 7 X 6
= 9468/7
= 924 m cube.