The lateral surface of a water bottle consists of a circular cylinder of radius 3 and height 6, topped off by a truncated hyperboloid of one sheet of height 4. Assume the top of the truncated hyperboloid has aO 101radius of 5. Find two equations that, when graphed together, form the lateral surface of the bottle.6.Determine the correct equations. Select all that apply.O A. x2y2- 5(z - 10)2 = 1O B. x2 - y? = 9O C. 9x2 + 9y? - 5(z – 10)2 = 1O D. x² + y² = 9O E. 9x2 + 9y2 = 1O F. - 9x2 – 9y² + 5(z – 10)2 = 1O G. x2 + y? - z² = 9O1. x? + y? + z? =9O H. x² + y² - (z – 10)2 = 1O J. 9x2 + 9y² + 5(z – 10)2 = 1

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The lateral surface of a water bottle consists of a circular cylinder of radius 3 and height 6, topped off by a truncated hyperboloid of one sheet of height 4. Assume the top of the truncated hyperboloid has a 10 radius of 7. Find two equations that, when graphed together, form the lateral surface of the bottle. Determine the correct equations. Select all that apply. OB. x? - y? = 9 O A. x y? 9*9 - 5(z – 10)2 = 1 O C. 9x? + 9y? - 5(z – 10)2 = 1 O E. 9x? + 9y? = 1 O G. x? + y² - z² = 9 O. x? + y? + z? = 9 OD. 2+ y? = 9 OF. - 9x2 - 9y? ++ 5(z – 10)? = 1 O H. x2 + y2 - (z - 10)² = 1 O J. 9x? + 9y? + 5(z – 10)² = 1