curved surface area of a cone is 308cm² and its slant height is 14 cm find .
(i) radius of the base
(ii) total surface area of the cone.
I want (i) solution also
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Curved surface area of a cone. is 308 cm
2
its slant height is 14 cm. Find
(i) radius of the base and
(ii) total surface area of the cone.
Medium
Solution
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Given :
Curved surface area of the cone =308cm
2
and Slant height or l=14 cm.
Curved surface area of the cone =πrl
308=
7
22
×r×14
r=
(22×14)
(308×7)
r=7cm
Total surface area of the cone =πr(r+l)
=(
7
22
×7)(7+14)
=22×21
Total surface area of the cone =462cm
2
So, the radius of the base of the cone is 7 cm and the total surface area of the cone is 462cm
2
.
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Answer:
Curved surface area of a right circular cone of base radius, r and slant height, l is πrl. Thus, radius of the cone is 7 cm and total surface area of the cone is 462 cm².
Step-by-step explanation:
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