**(a).**

The company sells cylindrical oil container with a capacity of liters.

liter c.c

Therefore the volume of the container is c.c.

The formula for the volume of the container is .

Now subustiute volume in the formula .

The formula for the surface area of the cylinder is .

Now subustiute in the formula .

.

The surface area of the cylinder in terms or radius is given by .

**(b).**

The company wants the surface area of the cylinder to be less than sq.cms

Subustiute in the equation .

The inequality can be written as .

**(c).**

The inequality is .

Let .

Draw the coordinate plane.

Graph the function .

**Graph :**

Observe the graph :

The zeros of the graph are at and .

The graph is undefined at .

The solutions of are values such that is negative.

From the graph the solution set is .

Since the radius is not in negative terms, only possible values are to be considered.

Therefore the radius of the cylinder is between cms to cms.

**(a).**

The surface area of the function as a radius is given by .

**(b).**

The inequality can be written as .

**(c). **

**Graph :**

Therefore the radius of the cylinder is between cms to cms.

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