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SSC MTS 5 Aug 2019 Shift 3 Paper
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© examsnet.com
Question : 26
Total: 100
The volume of a right circular cone is 1232
cm
3
and its height is 24 cm. What is its curved surface area? (Take
π
= 22/7)
354
cm
2
604
cm
2
550
cm
2
430
cm
2
Validate
Solution:
Tips & Tricks
The volume of a right circular cone =
=
1
3
π
r
2
h
⇒
1232
=
1
3
×
22
7
×
r
2
×
24
⇒
1232
×
21
22
×
24
=
r
2
⇒
r
2
=
49
⇒ r = 7 cm
⇒Lateral height = √
(
r
2
+
h
2
)
⇒ Lateral height (l) = √
(
7
2
+
24
2
)
= √625 = 25
⇒ Surface area =
π
r
l
= 22/7 × 7 × 25
∴ Curved surface area is 550
cm
2
.
© examsnet.com
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