Two possible equations are:

The toal surface area of a cylinder is 2πrh+2πr²
Step-by-step explanation:
The "net" of any geometrical shape refers to the two-dimensional equivalents of the three-dimensional object.
e.g. geometrical net of a cylinder would consist of two circles (one each at top and bottom) and a rectangle extending from bottom to the top in a curvilinear manner.
Hence, the Total surface area (TSA) of the cylinder can be found
by considering cylinder to be made of three parts
- the circle at the bottom
- the circular tube which extends for height "h" of the cylinder
- the circle at the top (considering it is closed cylinder)
The surface area of a circle (for 2-dimensional figures surface area is the same as area since the thickness factor is 1)= πr²
Since there are two circles= surface area (combined)= 2πr²
Moreover, this circle extends to height h. Hence, the combined surface area of the circle extending to height h (int he forms of the tube)= circumference*height= 2πrh
hence TSA= 2πrh+ 2πr²
Answer:
The complete equation is
. 
Step-by-step explanation:
Let be
, we need to determine the formula of
by integrating twice:


We apply the following algebraic substitution in expression above:
and 



We use the same approach to determine
:




If we know that
and
, the integration constants are obtained below:



The complete equation is
. (Angles are measured in radians) Then:



The first ratio is 1:4 so if x is 6 then 6x4 is 24 your answer is 24.