Your calculation for the cylinder volume is 31,792.50 cubic feet
I calculate it as 31,808.63 cubic feet
So, the 10,000 cubic feet mark would be located at
(10,000 / 31,808.63) * 45 feet =
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0.3143800912
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* 45 =
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14.147104104
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from the bottom
45 -
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14.147104104
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=
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30.852895896
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from the top
and that rounds to 31 feet
I get the same answer as you.
Let the price of adult ticket and children ticket be a and c respectively
8a+5c=177.50 -> 24a+15c=532.5
12a+6c=255.00 -> 24a+12c=510
24a+15c-24a-12c=532.5-510
3c=22.5
c=7.5
a=17.5
Attach an image so I can answer
