The volume of a right circular coneis 13] 9856 cm3.If the diameter of the base is 28 13 cm,find 1) height of the cone i) slant height if cone ii) curved surface area of the cone.
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Answer:
Given:
r=
2
28
=14cm
(i)Let height =h
⇒Volume =9856=
3
1
πr
2
h
9856=
3
1
×
7
22
×14×14×h
⇒h=48cm
(ii)⇒Slant height =
r
2
+h
2
=
14
2
+48
2
=
196+2340
=50cm
(iii)⇒Curved Surface Area =πrl=
7
22
×14×50cm
2
=22004cm
2
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