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UPSC 2013 CDS 2 Math Paper
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© examsnet.com
Question : 60
Total: 100
A conical cap has the base diameter 24 cm and height 16 cm. What is the cost of painting the surface of the cap at the rate of 70 paisa per square cm?
[2013 CDS-II]
₹520
₹524
₹528
₹532
Validate
Solution:
Radius of the conical cap
=
r
=
24
2
=
12
cm
Height of the conical cap
=
h
=
16
c
m
Slant height of the cone
=
1
=
√
r
2
+
h
2
=
√
12
2
+
16
2
=
20
c
m
Therefore, area of the curved surface of conical cap
=
π
r
l
=
22
7
×
12
×
20
c
m
2
Cost of painting the surface of the cap
=
22
7
×
12
×
20
×
0.7
=
₹
528
© examsnet.com
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