. The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5 inches. What is the maximum possible error in the volume of the cube if we use this value of the length of the side to compute the volume?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
icon
Related questions
Question

Approximation

1. The sides of a cube are found to be 6 feet in length with a possible error of no more
than 1.5 inches. What is the maximum possible error in the volume of the cube if we
use this value of the length of the side to compute the volume?
2. The altitude of a right circular cone is equal to the radius of the base and is measured as
5 in with a possible error of 0.02 in. Find the greatest possible error in the computed
value of the volume and the % error.
3. The intensity of the illumination, I, on an object at distance x from a light source is
k
I = where k is a constant. If an object is 200 ft from a light source, how much
x².
2
should the distance be change to increase the illumination by 1%?
4. The diameter and height of a right circular cylinder are measured to be 5 in and 8 in,
respectively. If each of these dimensions maybe in error by ±0.10 in. Fin d the greatest
possible %error in the volume of the cylinder.
5. The diameter of a circle is to be measured and its area computed. If the diameter can be
measured with a maximum error of 0.001 in and the area must be accurate to within 0.1
in³. Find the largest diameter for which the process can be used.
Transcribed Image Text:1. The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5 inches. What is the maximum possible error in the volume of the cube if we use this value of the length of the side to compute the volume? 2. The altitude of a right circular cone is equal to the radius of the base and is measured as 5 in with a possible error of 0.02 in. Find the greatest possible error in the computed value of the volume and the % error. 3. The intensity of the illumination, I, on an object at distance x from a light source is k I = where k is a constant. If an object is 200 ft from a light source, how much x². 2 should the distance be change to increase the illumination by 1%? 4. The diameter and height of a right circular cylinder are measured to be 5 in and 8 in, respectively. If each of these dimensions maybe in error by ±0.10 in. Fin d the greatest possible %error in the volume of the cylinder. 5. The diameter of a circle is to be measured and its area computed. If the diameter can be measured with a maximum error of 0.001 in and the area must be accurate to within 0.1 in³. Find the largest diameter for which the process can be used.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning