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