84. A spherical golf ball is measured to have a radius of 5 mm, with a possible measurement error of 0.1 mm. What is the possible change in volume? 85. A pool has a rectangular base of 10 ft by 20 ft and a depth of 6 ft. What is the change in volume if you only fill it up to 5.5 ft? 86. An ice cream cone has height 4 in. and radius 1 in. If the cone is 0.1 in. thick, what is the difference between the volume of the cone, including the shell, and the volume of the ice cream you can fit inside the shell? For the following exercises, confirm the approximations by using the linear approximation at x = 0.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter64: Volumes Of Spheres And Composite Solid Figures
Section: Chapter Questions
Problem 1A: In order to make a conical duct a circular sheet of metal is to be cut in the shape of a sector of a...
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84.
A spherical golf ball is measured to have a radius of 5 mm, with a possible measurement error of 0.1 mm. What is the possible change in volume?
85.
A pool has a rectangular base of 10 ft by 20 ft and a depth of 6 ft. What is the change in volume if you only fill it up to 5.5 ft?
86.
An ice cream cone has height 4 in. and radius 1 in. If the cone is 0.1 in. thick, what is the difference between the volume of the cone, including the shell, and the volume of the ice cream you can fit inside the shell?
For the following exercises, confirm the approximations by
using the linear approximation at x = 0.

84.
A spherical golf ball is measured to have a radius of 5 mm, with a
possible measurement error of 0.1 mm. What is the possible change
in volume?
85.
A pool has a rectangular base of 10 ft by 20 ft and a depth of 6 ft.
What is the change in volume if you only fill it up to 5.5 ft?
86.
An ice cream cone has height 4 in. and radius 1 in. If the cone is 0.1
in. thick, what is the difference between the volume of the cone,
including the shell, and the volume of the ice cream you can fit inside
the shell?
For the following exercises, confirm the approximations by
using the linear approximation at x = 0.
Transcribed Image Text:84. A spherical golf ball is measured to have a radius of 5 mm, with a possible measurement error of 0.1 mm. What is the possible change in volume? 85. A pool has a rectangular base of 10 ft by 20 ft and a depth of 6 ft. What is the change in volume if you only fill it up to 5.5 ft? 86. An ice cream cone has height 4 in. and radius 1 in. If the cone is 0.1 in. thick, what is the difference between the volume of the cone, including the shell, and the volume of the ice cream you can fit inside the shell? For the following exercises, confirm the approximations by using the linear approximation at x = 0.
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