1
Question
Find the total surface area of a right circular cone with radius 6 cm and height 8 cm.
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Solution
The formula of the total surface area of a cone with base radius ‘r’ and slant height ‘l’ is given as
Total Surface Area = 
But we do not have the slant height. We are given that r = 6 cm and h = 8 cm. We find l using the relation
= 
= 
= 
= 10.
Therefore, the slant height, l = 10 cm.
Substituting the values of r = 6 cm and l = 10 cm in the above equation and using 
in specified formula,
Total Surface Area = 
= 
= 
Therefore the total surface area of the given cone is
or 301.71 cm2.
The formula of the total surface area of a cone with base radius ‘r’ and slant height ‘l’ is given as
Total Surface Area =
But we do not have the slant height. We are given that r = 6 cm and h = 8 cm. We find l using the relation
=
=
=
= 10.
Therefore, the slant height, l = 10 cm.
Substituting the values of r = 6 cm and l = 10 cm in the above equation and using in specified formula,
Total Surface Area =
=
=
Therefore the total surface area of the given cone is or 301.71 cm2.
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