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DRDO Multi tasking staff Model paper 2
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© examsnet.com
Question : 99
Total: 101
Find the area of curved surface of a right circular cone (in
cm
2
)
of height 24 cm, having volume 1232
cm
2
.
550
704
924
1254
Validate
Solution:
Formula: Volume of a right circular cone
=
π
r
2
h
3
And area of curved surface of right circular cone = πrl
Given: volume = 1232
cm
3
Height = 24 cm
∴
=
π
r
2
h
3
=
1232
⇒
22
7
×
r
2
×
24
3
=
1232
⇒
r
2
=
1232
×
7
22
×
8
=
49
⇒ r = 7 cm
By Pythagoras theorem,
l
=
√
r
2
+
h
2
∴
l
=
√
7
2
+
24
2
l = 25 cm
Now, area of curved surface =
π
r
l
∴ Curved surface area
=
22
7
×
7
×
25
=
550
cm
2
© examsnet.com
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