Mensuration-38

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Find the area of the curved surface and total surface area of the cone whose height is 8 cm,
and whose base diameter is 12 cm.

Solution: Here, r = 6 cm, h = 8 cm

Therefore, Slant height l = √(h2 + r2)

= √(82 + 62) = √(64 + 36) = √100 = 10 cm

Therefore, curved surface area = Π r l = Π (6 x 10) cm2 = 60 Π cm2

= 60 x 3.142 = 188.52 cm2

Total surface area = Π r l + Π r2 = Π r (l + r)

= Π x 6 x (10 + 6) cm2 = 96 Π cm2

= 96 x 3.142 cm2

= 301.63 cm2

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