The difference between inside and outside surfaces of a cylindrical tube 14 cm long is 88 sq. cm. If the volume of the tube is 176 cuboc cm, find the inner and outer radii of the tube.

Question

Philoid · Accepted Answer

Given,

length of cylindrical tube = 14 cm

Difference between inside and outside surface = 88 cm²

volume of cylinder = 176 cm³

let outer radius of tube = R cm

Let inner radius of tube = r cm

so,

=

dividing equation (i) by equation (ii)

=

= R+r = 4 ..................(iii)

from equation (ii)

=

from equation (iii) and (iv)

= 2R = 5

= R =

= r = 1.5 cm