Answer:
Step-by-step explanation:
There are three surfaces to add up to.
A1, the top surface of the cone (r=1,h=2)
A2, The curved surface of the cylinder (r=1 , h = 13-2 = 11)
A3, The circular base of the cylinder (r=1)
The slant height of the cone, s = sqrt(1^2+2^2), s = sqrt(5)
The length (circumference of the base), l = 2 pi r = 2pi r = 2pi
The area is
A1 pi s l = pi * sqrt(5) (2 pi r) = 2(pi^2)sqrt(5)
The curved surface has an area of
A2 = 2 pi r h = 2pi (1)(11) =22pi
The base has an area of
A3 = pi r^2 = pi
Total area = A1+A2+A3 = 2sqrt(5) (pi^2) + 22pi + pi
= 2sqrt(5) pi^2 + 23pi
= 116.4 m^2 approx.
