Question

I give thanks :) This is worth 16 points

Answer 1

Surface area is defined as the sum of all the areas covers the object so here we have 2 cylinders and the
Area of a cylinder = side area + area of the circle 
side area = perimeter * height = 2*pi* r *h
area of the circle = pi * r^2 
for the cylinder, we have 2 area circle and 1 side area 
so surface area = 2 *pi * r*h + 2 pi* r^2 
so for the first cylinder 
A1 = 2*pi*r*h +2 pi * r^2 = (2*pi * 2 *2) +( 2 *pi * 2^2 ) = 16pi inch^2 
A2 = 2*pi*r*h + 2pi *r^2 = ( 2 * pi * 1.25*3)+( 2*pi *(1.25)^2) = 85/8 pi inch^2 
A= A1 +A2 
A = 16pi + 85/8 pi = 83.645 inch^2