1) If A is rotated 90 degrees clockwise, the coordinates of the image of point A will be (1,4).
2)
Tank's capacity = 13×π×(16)2×96=8192π cubic feet
Volume of water = 25% * 8192pi = 2048π cubic feet
By similar figures, base radius : height = 1 : 6
Base radius of water cone = Height/6
Let h feet be the height of the water cone.
13×π×(h6)2∗h=2048πh3108=2048h3=221184=213⋅33h=3√213⋅33=24⋅3⋅3√2=483√2
Therefore a = 48, b = 2, a+b = 50 :)
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