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Byju's Answer
Standard IX
Mathematics
C.S.A of the Cone
Note Use π=22...
Question
Note Use
π
=
22
7
, unless stated otherwise.
The curved surface area of a cone is 308 cm
2
and its slant height is 14 cm. Find the radius of the base and total surface area of the cone.
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Solution
Slant height, l = 14 cm
Let the radius of the base be r cm.
Curved surface area of the cone =
308 cm
2
(Given)
∴
π
r
l
=
308
⇒
22
7
×
r
×
14
=
308
⇒
r
=
308
×
7
22
×
14
⇒
r
=
7
cm
∴ Total surface area of the cone =
π
r
r
+
l
=
22
7
×
7
×
7
+
14
=
22
7
×
7
×
21
= 462 cm
2
Thus, the radius of the base is 7 cm and the total surface area of the cone is 462 cm
2
.
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Q.
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and its slant height is 14 cm. Find the radius of the base and total surface area of the cone.