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Surface Areas and Volumes
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28/07/2021 10:04 am
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Curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find
(i) radius of the base and
(ii) total surface area of the cone.
(Assume π = 22/7)
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28/07/2021 10:06 am
Slant height of cone, l = 14 cm
Let the radius of the cone be r.
(i) We know, CSA of cone = πrl
Given: Curved surface area of a cone is 308 cm2
(308 ) = (22/7) × r × 14
308 = 44 r
r = 308/44 = 7
Radius of a cone base is 7 cm.
(ii) Total surface area of cone = CSA of cone + Area of base (πr2)
Total surface area of cone = 308 + (22/7) × 72
= 308 + 154
Therefore, the total surface area of the cone is 462 cm2.