Maths-

General

Easy

Question

# 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

Hint:

### Forming the equations based on the given information, we will get two equations. Then we will find the radii by solving those two equations.

## 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

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