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50

Step-by-step Answer
PAGE: 146SET: ExercisesPROBLEM: 50
Please look in your text book for this problem Statement

(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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