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.
A truncated cone is a part of a cone located between its base and a secant plane parallel to the base.
The formula of the area of the lateral 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·(R2+(R+r)L+r2)
= π·(52+(5+3)8+32)
= 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