A trough for feeding cattle is 4 meters long and its cross sections are isosceles triangles with the two equal sides being 1/2 meter (see figure). The angle between the two sides is θ.

(a) Write the volume of the trough as a function of θ / 2.
(b) Write the volume of the trough as a function of θ and determine the value of θ such that the volume is maximized.

Transcribed Image Text:

মা নির। 4 m ৪ -lন =lন