Volumes Practice Test 2

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Question : 6 of 40

Marks: +1, -0

The curved surface area of a cylindrical pillar is 264

m^2

and its volume is 924

m^3

. The ratio of its diameter of its height is

2 : 5
5 : 2
3 : 7
7 : 3

Solution:

Here, 2πrh =

264 m^2

and also

πr^2h

= 924

m^3

Hence,

{πr^2h}/{2πrh}

=

{924}/{264}

∴ r = 2 ×

{924}/{264}

= 7m
Now,

2 × {22}/7

× 7 × h = 264
∴ h =

{264}/{2×22}

= 6 m
Then ,

d/h

=

{2r}/h

=

{2×7}/{6}

=

7/3

Hence, required ratio = 7 : 3

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