Q. 533.7( 3 Votes )

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3 . The height of the pillar is
A. 4 m

B. 5 m

C. 6 m

D. 7 m

Answer :

Given: CSA of a cylindrical pillar is 264 m2


Volume of cylindrical pillar id 924 m3


CSA of a cylinder is : 2πrh (here r and h are radius and height respectively)


2πrh = 264 …. 1


Volume of the Cylinder is : πr2h (here r and h are radius and height respectively)


πr2h = 924 …. 2


Divide eq –2 by eq –1


We get,


=


= r = 7


r = 7


Substitute ‘r’ in eq –1


2 × π × 7 × h = 264


2 × × 7 × h = 264


44 × h=264


h = = 6 cm


height of the cylindrical pillar is 6 cm

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