The function is .

Observe the graph :

Let  be the region bounded by the function , the  axis,  and .

Where .

Let  be the solid formed when  is revolved around  axis.

(a)

.

Differentiate with respective to .

Volume can be calculated by the formula .

Where  is .

(b)

Definition Of Arc Length :

Let the function given by  represent a smooth curve on the interval .

The surface area of  between  and  is .

Where  is .

(c)

Observe the graph :

.

.

(d)

In the above function :

 on the interval .

Now we have .

In the step 3 :. So,

.

Which is the surface area .

Therefore  as .

(a)

The volume  is .

(b)

The surface area is .

(c)

.

(d)

.

 as .