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Calc 2 7.2

 

<== Calculus 2
Number Question Answer
See the work

1.

 

The region bounded by y= 3/x, y = 0, x= 3, and
x= 5 is rotated about the x-axis. Find the volume
of the resulting solid.

Volume= (9)π(2)/(15)
The work

Point Cost: 3

2.

 

Find the volume formed by rotating the region
enclosed by: x= 11y and y^2= x about the y-axis

 

67460.885127
The work

Point Cost: 3

3.

 

 

Find the volume of the solid obtained by rotating the
region bounded by the given curves about the specified axis.
y= x^2,y= 0, x= 1, about the y-axis

 

1.5708
The work

Point Cost: 1

4.

 

Find the volume formed by rotating the region enclosed by:
y= 4sqrt(x) and y= x about the line y= 16

 

2144.66
The work

Point Cost: 4

5.

 

 

Find the volume of the solid obtained by rotating the
region bounded by the given curves about the specified axis.     
y= 1/(x^4), y= 0, x= 4, x= 7; about y= -4

 

0.1065
The work

Point Cost: 3

6.

 

Find the volume formed by rotating the region enclosed
by: y= x^2 and x= y^2 about the line x= -1

 

3.0369
The work

Point Cost: 3

7.

 

Find the volume of the solid obtained by rotating the region under
the graph of the function f(x)=x^9/8 about the x-axis over the
interval [1,5].

 

179.717
The work

Point Cost: 3

8.

 

Find the volume of a frustum of a right circular cone
with height 25, lower base radius 22 and top radius 17.

 

30028.389781
The work

Point Cost: 4

9.

 

 

Find the volume of a frustum of a pyramid with
square base of side 25, square top of side 11 and height 12.
Volume=_______

 

4084
The work

Point Cost: 1
10. The base of a solid is a circular disk with radius 4.
Parallel cross sections perpendicular to the base are
squares. Find the volume of the solid.
1024/3
The work

Point Cost: 1
11. Using disks or washers, find the volume of the solid obtained by
rotating the region bounded by the curves x=y-y^2
and x=0 about the y-axis.
0.1047
The work

Point Cost: 3