Answer:
C. hyperbola; 
Step-by-step explanation:
The given conic has equation:

Divide through by 225.


This is a hyperbola centered at the origin.
The hyperbola has been translated from the origin to (0,5).
The translated hyperbola will have equation;

Multiply through by 225.

Expand


Rewrite in general form;


Step-by-step explanation:
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the lateral surface area of the figure is 660 sq ft
(but the answer is not matching with the options)
Step-by-step explanation: this figure is called cylinder. the lateral surface area means the area of curved surface.
here the diameter is 10 ft
so radius = diameter/2 = 10/2 ft = 5ft
again, height = 21ft
now the lateral surface area = perimeter of the circular surface X height
= 2X pie X r X h ( here r is the radius and h is height and we will take pie as 22/7)
= 2 X (22/7) X 10 X 21 sq ft
= 2 X 22 X 5 X 3 sq ft
=660 sq ft
( suggest you to recheck the options)