A machinist is required to manufacture a circular metal disk with area 807 cm². Give your answers in exact form. Do not write them as decimal approximations. a) What radius, a, produces such a disk? b) If the machinist is allowed an error tolerance of ±5 cm² in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? c) Using the ε/ definition of a limit, determine each of the following values in this context: f(x) a= =

A machinist is required to manufacture a circular metal disk with area 807 cm². Give your answers in exact form. Do not write them as decimal approximations. a) What radius, a, produces such a disk? b) If the machinist is allowed an error tolerance of ±5 cm² in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? c) Using the ε/ definition of a limit, determine each of the following values in this context: f(x) a= =

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

Section9.3: Cylinders And Cones

Problem 14E: A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral...

See similar textbooks

Similar questions

Determine the arc dimension x in inches to 3 decimal places.
The four holes in the figure are 0.8 cm in diameter and equally spaced around the bolt circle. Find the distances x and y rounded to 2 decimal places.
Find the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.
A piece of round stock is being turned to a 17.86-millimeter diameter. A machinist measures the diameter of the piece as 18.10 millimeters.What depth of cut should be made to turn the piece to the required diameter?
A basketball has a volume of about 455.9 cubic inches. Find the radius of the basketball (accurate to three decimal places).
Compute the following problems. Express the answers to the nearer whole number. Use C=3.1416DN12 or DN12 for customary units and C=3.1416DN1000 or DN1000 for metric units. What is the surface speed of a 16-inch diameter surface grinder wheel running at1194 rpm?
A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral surface 3 in. high. If the cost of the metal used is 0.5 per square inch and the cost of the cardboard is 0.2 cent per square inch, what is the approximate cost of constructing one container? Use 3.14.
Refer to the Decimal-Inch Spur Gears Table under the heading "Gearing-Diametral Pitch System" in Unit 48 to determine the pitch diameter of an 8-pitch gear that has 45 teeth.