Find the volume of the solid of revolution formed by rotating the bounded region about the x-axis.
f(x)=x^2/4, y=0, x=4.

5.333 \pi

Step-by-step explanation:

Given is a function exponential as

The region bounded by the above curve, y =0 , x=4  is rotated about x axis.

The intersection of curve with x axis is at x=0

The limits for x are 0 and 4

The volume when rotated through x axis is found by

Here a = 0 and b =4

volume =

=

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft