Find the lateral area and surface area of a right cone with a radius of 6 in. and a height of 8 in. Give your answers in terms of [tex]\pi[/tex].

r = 6 in H = 8 in A = π r l P y t ha g or a s t h eore m : r 2 + H 2 = l 2 l 2 = 6 2 + 8 2 l 2 = 36 + 64 l 2 = 100 l = 100 ​ l = 10 ( in )
A = π ⋅ 6 ⋅ 10 = 60 π ( i n 2 )

Answered by Anonymous | 2024-06-10

The lateral area of the cone is 60 π in², and the surface area is 96 π in². This is calculated using the cone's radius of 6 inches and height of 8 inches. The slant height is found using the Pythagorean theorem.
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Answered by Anonymous | 2024-09-27