Find the height of a cylinder whose volume is 100 cm^3 and the circumference is 10 cm.

Given circumference , C  = 10m and volume, V  =100cm^3. To find the height h.

Solution:

Circumference is given by: C = 2pi*r ................................(1), where r is radius of cylinder. pi is a constant = 3.14159... of the circle.

Volume V  is given by : V = pir^2*h................................(2)

Therefore,

  From (1),  r = C/(2pi) = 10/(2pi) =  1.59149431

From (2),  h = V/(pi*r^2) = 100/(pi*1.59149431^2) =  12.56637061