its diameter.
of cylinder = 2trh
1. The curved surface area of a cylinder is 264 m² and
its volume is 924 m?. Find the ratio of its height to
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Answer:
Surface Area of a Cylinder of Radius "r" and height "h" $$ = 2\pi
rh = 264 {m}^{2} $$ --- (1)
Volume of a Cylinder of Radius "r" and height "h" $$ = \pi { r }^{
2 }h = 924 {m}^{3} $$ ----- (2)
Dividing 2 by 1,
2πrh
πr
2
h
=
264
924
=>
2
r
=
2
7
=>r=7m
From equation (1), 2πrh=2×
7
22
×7×h=264
=>h=6m
Hence, required ratio =
Height
Diameter
=
6
14
=
3
7
=7:3
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