Answers

1. Answer:

   Lateral Surface Area = 1848 m^2 (does not include the top and bottom)

   Step-by-step explanation:

   Vol Cylinder = pi*r^2 *h  

   h = (3/2)r

   Vol = pi*r^2((3/2)r)                     [We are told that the volume is 12,936 m^3]

   pi*r^2((3/2)r) = 12,936 m^3  

   pi*(3/2)*(r^3) = 12,936 m^3

   pi*r^3 = (12,936 m^3)*(2/3)

   pi*r^3 = 8,624 m

   r^3 = (8,624 m)/(3.14)

   r^3 = 2745.1

   r = 14.0 m

   Lateral Surface = 2*(pi)*r*h  [Lateral is just the curved portion of the right cylinder.

   Lateral Surface Area = 2*(3.14)*(14.0)(21.0)

   Lateral Surface Area = 1848 m^2

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