1. A closed box, with a rectangular base, whose length is twice its width, is to have a surface of 192 sq. in. Find the dimensions of the box when its volume is a maximum. 2. Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point (9, 0 ). 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an equilateral triangle and the other into a circle. How should the wire be cut so the sum of the enclosed areas is a minimum. 4. . Find the radius and central angle in radians of the circular sector of maximum area having a perimeter of 16 cm. 5. Find the maximum area of an isosceles triangle whose perimeter is 18 inches.
1. A closed box, with a rectangular base, whose length is twice its width, is to have a surface of 192 sq. in. Find the dimensions of the box when its volume is a maximum. 2. Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point (9, 0 ). 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an equilateral triangle and the other into a circle. How should the wire be cut so the sum of the enclosed areas is a minimum. 4. . Find the radius and central angle in radians of the circular sector of maximum area having a perimeter of 16 cm. 5. Find the maximum area of an isosceles triangle whose perimeter is 18 inches.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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