# The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3 . The height of the pillar isA. 4 mB. 5 mC. 6 mD. 7 m

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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