The volume and the curved surface area of a cylinder are 1650 cm

Curved surface area of the cylinder = 2πrh  =660 cm2     ... (1)

Volume of the cylinder = πr2h   =1650 cm3                       ... (2)

From (1) and (2), we can calculate the radius (r) and the height of cylinder (h).

We know the volume of the cylinder, i.e. 1650 cm3

∴  1650 = πr2h

$h=\frac{1650}{\pi r^{2}}$

Substituting h into (1):

660 = 2πrh

$660=2 \pi r \times \frac{1650}{\pi r^{2}}$

660r = 2(1650)

r = 5 cm

$h=\frac{1650}{\pi r^{2}}$

$=\frac{1650}{\frac{22}{7} \times 5^{2}}=21 \mathrm{~cm}$

Hence, the radius and the height of the cylinder are 5 cm and 21 cm, respectively.