The volume and curved surface area of the cylinder are 1650cm3 and 660cm2 respectively. Find the radius and height of the cylinder.

# The volume and curved surface area of the cylinder are 1650cm3 and 660cm2 respectively. Find the radius and height of the cylinder.

1. A
5cm, 21cm
2. B
10cm, 2cm
3. C
1cm, 5cm
4. D
None of these

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### Solution:

Volume of cylinder = 1650cm2
πr2h = 1650
___(i)
Surface area of the cylinder = 2πrh
660 = 2πrh ___(ii)
Form eqn.  (i) and eqn. (ii)
r = 5cm
Put in the equation. (2)
660 = 2π × 5 × h
h = 21cm

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