The difference between the outer and inner curved surface areas of a 14 cm long cylinder is 88 sq.cm Find the outer and inner radii of the cylinder given that the volume of the metal is 176 cubic cm

The correct answer is: The outer and inner radii of the cylinder are 2.5 cm and 1.5 cm

Explanations:
Step 1 of 3:
Given, outer CSA – inner CSA = 88
, where  = length of cylinder,  R = outer radius, r = inner radius

…(i)
Step 2 of 3:
Also, given volume with  R – volume with  r = 176



…(ii)
Step 3 of 3:
Adding (i) and (ii), we get



Putting R = 5/2 in equation (ii), we get


Final Answer:
The outer and inner radii of the cylinder are 2.5 cm and 1.5 cm