Find the volume, curved surface area and the total surface area of a cone whose height is 6 cm and slant height 10 cm. $(T a k e π = 3.14)$

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Solution

ANSWER:
Height of the cone, h = 6 cm
Slant height of the cone, l = 10 cm
Radius, $r^{2} = l^{2} - h^{2} = 100 - 36 = 64 r = 8 c m$
Volume of the cone = $π r^{2} h = \frac{1}{3} \times 3.14 \times 8^{2} \times 6 = 401.92 c m^{3}$
Curved surface area of the cone = $π \times r \times l = 251.2 c m^{2}$
∴ Total surface area = $π r l + π r^{2} = 452.16 c m^{2}$

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Find the volume, curved surface area and the total surface area of a cone whose height is 6 cm and slant height 10 cm.(Take π=3.14)

ANSWER: Height of the cone, h = 6 cm Slant height of the cone, l = 10 cm Radius, r2=l2−h2=100−36=64r=8cm Volume of the cone = πr2h=13×3.14×82×6=401.92cm3 Curved surface area of the cone = π×r×l=251.2cm2 ∴ Total surface area = πrl+πr2=452.16cm2

Find the volume, curved surface area and the total surface area of a cone whose height is 6 cm and slant height 10 cm. $(T a k e π = 3.14)$