The answer for the first picture is 648π or 2034.72
I got the answer using the formula πr squared times the height
so π9squared x 8
6x=120-5y -> x=20-5/6*y -> 7(20-5/6*y) + 11y =202 -> 140-35/6*y + 11y = 202 -> 140+31/6*y=202 -> 31/6*y = 62 -> y = 12.
Dh/dt = -32t + 24
-32t + 24 = 0 when maximum
32t = 24
t = 24/32
t = 3/4
To find the maximum height just substitute "t" in
h = -16 (9/16) + 24(3/4) + 7
h = -9 + 18 + 7
h = 16ft
No because the maximum amount for sin and cos is 1.if alpha is 90 and beta is 0 the answer is 7 so it's not right.