WorksheetsVOLUMES. For questions 6-10, a calculator will be needed
Total questions: 10
Worksheet time: 28mins
Name
Class
Date
1.
If the region bounded by the function and the x axis is rotated about the line y = 3, would one use the washer or disk method?
a)
washer
b)
disk
2.
If the same region of the same graph is now rotated about the line y= -4, would one use a washer or disk?
a)
washer
b)
disk
3.
If the region enclosed by these graphs are rotated about the y axis, would one use the disk or washer method?
a)
washer
b)
disk
4.
If the region from (-1,0) is rotated about the x axis, would one use a washer or disk?
a)
washer
b)
disk
5.
If the region enclosed by these functions are revolved around the y axis, would one use a washer or disk?
a)
washer
b)
disk
6.
Find the volume if the region bounded above x axis is rotated about the x axis
a)
14.731
b)
55.080
c)
42.237
d)
52.237
7.
Find the volume if the same region is rotated around y = -3
a)
182.831
b)
116.962
c)
82.004
d)
177.5
8.
Find volume if area enclosed is rotated about y= -2.
a)
30.007
b)
31.626
c)
35.143
d)
37.360
9.
Find area under curve from (-1,0)
a)
0.75
b)
1.25
c)
1.5
d)
1.67
10.
Find area between curves from (-1,0)
a)
0.21
b)
0.23
c)
0.25
d)
0.27
100 %
