Question
1. A trough in the shape of a box holds water, with base dimensions 10 feet...
1. A trough in the shape of a box holds water, with base dimensions 10 feet long by 4 feet wide. The water level starts 7 feet high in this box, and there is a circular hole in the bottom of the box with radius 2 inches. Assume that time, t, represents seconds from when it was filled to exactly 7 feet high, and let y represent the current height of the water in the trough.
a. What is the cross sectional area y(t) = _________________
b. What is the Base area of the hole = ____________
c. What is an equation for the height at any given moment y = ________________
d. After how many seconds will the trough become empty: __________
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