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# The area of the entire surface of a truncated cone with the radius of the lower base R = 5, with the radius of the upper base r = 3, and the generative L = 8 equal to 307.867

a: The area of the entire surface of a truncated cone with the radius of the lower base R = 5, with the radius of the upper base r = 3, and the generative L = 8 equal to 307.867

A truncated cone is a part of a cone located between its base and a secant plane parallel to the base.

The formula for the area of the entire surface of the cone
where R is the radius of the lower base,r is the radius of the upper base, L is the length of the generatrix.

Solution:

S = π·(R^{2}+(R+r)L+r^{2})

= π·(5^{2}+(5+3)8+3^{2})

= π·(25+8·8+9)

= π·(25+64+9)

= 98·π

=

307.867

a: The area of the entire surface of a truncated cone with the radius of the lower base R = 5, with the radius of the upper base r = 3, and the generative L = 8 equal to 307.867