Examsnet
Unconfined exams practice
Home
Exams
Banking Entrance Exams
CUET Exam Papers
Defence Exams
Engineering Exams
Finance Entrance Exams
GATE Exam Practice
Insurance Exams
International Exams
JEE Exams
LAW Entrance Exams
MBA Entrance Exams
MCA Entrance Exams
Medical Entrance Exams
Other Entrance Exams
Police Exams
Public Service Commission (PSC)
RRB Entrance Exams
SSC Exams
State Govt Exams
Subjectwise Practice
Teacher Exams
SET Exams(State Eligibility Test)
UPSC Entrance Exams
Aptitude
Algebra and Higher Mathematics
Arithmetic
Commercial Mathematics
Data Based Mathematics
Geometry and Mensuration
Number System and Numeracy
Problem Solving
Board Exams
Andhra
Bihar
CBSE
Gujarat
Haryana
ICSE
Jammu and Kashmir
Karnataka
Kerala
Madhya Pradesh
Maharashtra
Odisha
Tamil Nadu
Telangana
Uttar Pradesh
English
Competitive English
Certifications
Technical
Cloud Tech Certifications
Security Tech Certifications
Management
IT Infrastructure
More
About
Careers
Contact Us
Our Apps
Privacy
Test Index
UPSC CDS Math Volume and Surface Area Questions
Show Para
Hide Para
Share question:
© examsnet.com
Question : 104
Total: 104
A cylinder is surmounted by a cone at one end, a hemisphere at the other end. The common radius is 3.5 cm, the height of the cylinder is 6.5 cm and the total height of the structure is 12.8 cm. The volume V of the structure lies between
[2014 CDS-I]
370
c
m
3
a
n
d
380
c
m
3
380
c
m
3
a
n
d
390
c
m
3
390
c
m
3
and
400
c
m
3
None of the above
Validate
Solution:
Height of the hemisphere = Radius of the hemisphere = 3.5 cm
Height of the cone
=
12.8
–
(
3.5
+
6.5
)
=
2.8
c
m
V = Volume of the structure = Volume of hemisphere + Volume of cylinder + Volume of cone
=
2
3
π
(
3.5
)
3
+
π
(
3.5
)
2
×
6.5
+
1
3
π
(
3.5
)
2
×
2.8
=
1
3
×
22
7
×
(
3.5
)
2
×
(
7
+
19.5
+
2.8
)
=
376.02
c
m
3
(approx)
∴
370
c
m
3
<
V
<
380
c
m
3
© examsnet.com
Go to Question:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
Prev Question