**Q) The difference between the outer and inner radii of a hollow right circular cylinder of length 14 cm is 1 cm. If the volume of the used in making the cylinder is 176 cm³, find the outer and inner of the cylinder.**

**Ans.**

Let’s draw the diagram for the given question:

Here, Cylinder has outer radii as and inner radii as , height 14 cm.

We know that the volume of the Cylinder,

Given that h = 14 cm

Here, outer volume

And Inner volume

From the diagram, it is clear that the difference of the outer and inner volume is the volume of the metal. It is given that metal volume is 176 cm ^{3}

Therefore,

Given that ……… (i)

….. (ii)

By adding Equation (i) and (ii), we get:

Substituting value of in equation (ii), we get:

**Therefore, the outer radii of cylinder is cm and inner radii is cm.**

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