Let radius of cylinder be r. and height be h.
Given volume of cylinder 1650cm3
⇒πr2h=1650….(i)
Curved surface area of cylinder =660cm2
⇒2πrh=660…(ii)
On dividing (i) by (ii), we get
πr2h2πrh=1650660r2=52
r=5×22
=5cm
substituting this value of r in equation (ii), we get
2πrh=660
2×227×5×h=660
h=660×72×22×5=21cm
Hence, the radius is 5cm and height is 21cm.