. The curved surface area of a cylindrical pillar is


264m2 and its volume is 924m3. Find the diameter and the height of the pillar.

 

Best Answer

Explanation:

Given that:

Curved surface area of cylinder =264m2

Volume of cylinder =924m3

We know that

CSA of cylinder =2πrh

264=2×22/7×r×h

r×h=(264×7)/44

r×h=1848/44

r×h=42

h=42/r .....(1)

Now,

Volume of cylinder =πr2h

Substituting the value of h=42/r in the volume equation, we get

942=22/7×r2×42/r

924r=924×7

r=7m

So, Radius is  and the diameter will be 7×2=14m.

And the height of the cylinder =h=42/r=42/7=6m

Final Answer:

Hence, the diameter of the pillar is 14m and the height of the pillar is 6m.

 

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