1. The edge of a cube was found to be 32 cm with a possible error in measurement of0.1 cm. Use differentials to estimate the maximum possible error, relative error andpercentage error in computing the (a) volume and (b) surface area of the cube.

Given : Measurement of edge of cube a = 32 cm Possible error in measurement of edge is da = 0.1 cm…

Answered: 1. The edge of a cube was found to be…

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 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

See similar textbooks

Similar questions

Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.
The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use differentials to estimate the maximum possible error, relative error, and percentage error in comuting (a) the volume of the cube and (b) the surface area of the cube.
4) the base radius and height of a right circular cone are measured as 10 cm and 25 cm, respectively, with a possible error in measurement of as much as o.1 cm in each. Use differentials to estimate the error and %error in the calculated volume of the cone.
The edge of a cube was found to be 60cm with a possible error of 0.1 cm. Use differentials to estimate the maximum possible error in the calculated volume of the cube.
The edges of a cube are found to be 10cm with an error ± 0.03cm The volume of the cube is then estimated to be 1000 cubic cm. Use differentials to estimate the maxiumum error on this estimate of the volume.
The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use differentials to estimate the possible error in computing the volume of the cube.
The dimensions of a closed rectangular box are measured as 88 cm, 53 cm, and 32 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box. (Round your answer to one decimal place.)
The edge of a cube was found to be 30 cm with a possible error in measurement of .1 cm. Use differentials to estimate the percentage error (to the nearest hundredth) in computing (a) the volume of the cube and (b) the surface area of the cube.
The length and width of a rectangle are measured with errors of at most 3% and 5%, respectively. Use differentials to approximate the maximum percentage error in the calculated area.
The edge of a cube was found to be 30 cm with a possibleerror in measurement of 0.1 cm. Use differentials toestimate the maximum possible error, relative error, andpercentage error in computing (a) the volume of the cubeand (b) the surface area of the cube.
The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use differentials to estimate the maximum possible error in computing the surface area of the cube.

Recommended textbooks for you

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

SEE MORE TEXTBOOKS

1. The edge of a cube was found to be 32 cm with a possible error in measurement of 0.1 cm. Use differentials to estimate the maximum possible error, relative error and percentage error in computing the (a) volume and (b) surface area of the cube.