Problema Solution
Volume of a Trough Water is running into a trapezoidal
trough. The volume V, in cubic feet, of water in the trough
is given by V= 32d2+32d, where d is the depth, in feet, of
the water in the trough. Find the depth of the water when
the volume is 850 cubic feet. Round to the nearest tenth of
a foot
Answer provided by our tutors
We need to find d when V = 850 ft^3.
V = 32d^2 + 32d
32d^2 + 32d = 850
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click here to see the equation solved for d
........
d = 4.7 ft
We need to ignore the negative solution since the depth can only be positive.
The depth of the water is 4.7 feet.