Volumes Practice Test 3

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Question : 11 of 40

Marks: +1, -0

The curved surface area of a cylindrical pillar is 264

m^2

and its volume is 924 4m^3$. What will be its height?

5m
6m
7m
8m

Solution:

Here, 2πrh =

264 m^2

and also

πr^2h

=

924 m^3

Since ,

{πr62h}/{2πrh}

=

{924}/{264}

⇒

r/2

=

{924}/{264}

⇒ r =

{924×2}/{264}

= 7 cm
Now, 2 ×

{22}/7 × 7 × h

= 264
∴ h =

{264}/{2×22}

= 6 m

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