Find the total surface area of a cone whose height is 8 cm and
radius 6 cm.
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301.714
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The total surface area of the cone is 301.44 cm^2.
Given:
Height of a cone= 8cm
Radius of a cone= 6cm
As we know, total surface area of a cone(T.S.A) = πrl+πr^2, where r is the radius, l is the slant height of the cone
Now to find the slant height of cone:
Lateral height=√[ Height^2 + Radius^2]
Lateral height= √[ 8^2 + 6^2] = 10 cm
Therefore, T.S.A = πrl+πr^2
So, T.S.A = π*6*10 +π*6^2
= π( 60+36)
= π ( 96 ) = 301.44 cm^2.
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