the volume and curved surface area of a cylinder is 154 cm cube and 440 centimetre square respectively find the radius and height of the cylinder
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27
volume=π(r)2h
154=22/7×(r2)h
49=r2h ........,.....(1)
CSA=2πrh
440=2×22/7×rh
70=rh
h=70/r.........,...,...(2)
put (2)in (1)
49=r2×70/r
49/70=r
r=7/10 cm
put r=7/10 in (2)
h=70/7/10
h=700/7
h=100cm
hence, r=7/10cm and h=100cm
154=22/7×(r2)h
49=r2h ........,.....(1)
CSA=2πrh
440=2×22/7×rh
70=rh
h=70/r.........,...,...(2)
put (2)in (1)
49=r2×70/r
49/70=r
r=7/10 cm
put r=7/10 in (2)
h=70/7/10
h=700/7
h=100cm
hence, r=7/10cm and h=100cm
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4
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