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UPSC CDS Math Volume and Surface Area Questions
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© examsnet.com
Question : 25
Total: 104
The radius and slant height of a right circular cone are 5 cm and 13 cm respectively. What is the volume of the cone ?
[2018 CDS-I]
100π
c
m
3
50π
c
m
3
65π
c
m
3
169π
c
m
3
Validate
Solution:
Radius of cone (r) = 5 cm
Slant height (l) = 13 cm
∴ Height,
h
=
√
13
2
−
5
2
=
√
169
−
25
=
12
cm
∴ Volume of cone
=
1
3
×
π
r
2
h
=
1
3
×
π
×
5
×
5
×
12
=
100
π
c
m
3
© examsnet.com
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