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.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
