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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: __________

Math   Calculus   
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