solution. Box your final answer. 1. Find the height of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 15 cm.
solution. Box your final answer. 1. Find the height of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 15 cm.
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 3ECP: A combination lock will open when you select the right choice of three numbers (from 1 to 30,...
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Transcribed Image Text:Course: CEE101(6776);2021-2022 X
9 CEE 101 ENGINEERING CALCULU X
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Activity 2. Solve the following problems and write the givens, what to maximize, and the
solution. Box your final answer.
1. Find the height of a right circular cylinder of maximum volume that can be inscribed
in a sphere of radius 15 cm.
2. Find the length of the shortest ladder which will reach from the ground level to a
high vertical wall if it must clear an 8-ft vertical fence which is 27 ft from the wall.
3. A man in a motorboat at A receives a message at noon, calling him to B. A bus
making 40 miles per hour leaves C, bound for B, at 1:00 PM. If AC = 30 miles, what
must be the speed of the boat, to enable the man to catch the bus?
4. A gutter having a triangular cross-section is to be made by bending a strip of tin in
the middle. Find the angle between the sides when the carrying capacity is to a
maximum.
5. A trapezoidal gutter is to be made, from a strip of metal 22 inches wide by bending
up the edges. If the base is 14 inches wide, what width across the top gives the
greatest carrying capacity.
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