use total differentials to approximate the valueof Volume cone of heightz1.004 anddiameter = 4.008

Total differentiatial approximation: Del f = df/dx *del x + df/dy * del y

Answered: use total differentials to app rokimate…

Math

Calculus

use total differentials to app rokimate the Value of Volume cone of heightz1.004 and diameter =4.008

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

Related questions

Q: A tin can has a circular base of radius 2 inches and height of 6 inches. If the thickness of its…

A: We have to find the volume of tin can using differentials.

Q: find by use of differentials the approximate total area of a right circular cone whose base radius…

A: Given : Right circular cone whose base radius and height are 5.03 inches and 11.89 inches. We know…

Q: The radius of a circular disk is given as 15 cm with a maximum error in measurement of 0.2 cm (a)…

A: To find the relative and percentage error.

Q: The radius of a ball is claimed to be 4.5 inches, with a possible error of 0.05 inch. Use…

A: Given that,radius (r) = 4.5 inches, dr=0.05Surface area of ball is A = 4πr2= 4π(4.5)2 =4π x(20.25)A…

Q: The edge of a cube was found to be 107 cm with a possible error in measurement of 0.03 cm. Use…

Q: Approximate the change in the volume of a right circular cylinder of fixed radius r= 19 cm when its…

Q: Gordon is making a chocolate dome by coating a plastic dome with a layer of chocolate 2 mm thick. If…

A: Answer: 40π cm³ or 125.66 cm³

Q: (a) Use differentials to approximate the possible propagated error in computing the area of the…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

Q: a steel pipe with an outside radius of 12 inches and a length of 2 ft is coated outside with 0.01…

Q: O Use differentials to approximate the increase in the area of a soap bubble when its volume…

A: Given query is to find approximate are increased.

Q: The possible error involved in measuring each dimension of a right circular cone is + inch. The…

A: The propagated error dV = V'(r)dr, here dr = +0.1 or -0.1 inch and r = 4 inches.

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.l cm. Use…

A: Let the edge of the cube be x= 30cm And given error in measurement of edge dx= 0.1cm a) Volume of…

Q: The radius of a circular disk is given as 20 cm with a maximum error of 0.3 cm. (a) Use…

Q: The radius of a circular disk is given as 20 cm with a maximum error of 0.3 cm. a) Use differentials…

A: GIVEN The radius of a circular disk is given as 20 cm with a maximum error of 0.3 cm we need to find…

Q: A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use…

A: Given: The edge of a cube, x=30 cm The error in measurement, ∆x=0.1 cm

Q: A mineral deposit along a strip of length 6 cm has density s(x) = 0.01x(6 − x) g/cm for 0 ≤ x ≤ 6.…

Q: Use differentials to determine the approximate area, dA, of a circular ring which has an inside…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

Q: The possible error involved in measuring each dimension of a right circular cone is ±1/8 inch. The…

A: Given: Error=±1/8 inch. The radius is 2 inches and the height is 5 inches. Formula used: The Volume…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

Q: Use differentials to estimate the amount of paint needed to apply a cost of paint 0.06 cm thick to a…

A: It is given that a paint cost 0.06 cm is applied to a hemispherical dome whose diameter is 54 m.…

Q: A tank in a shape of an inverted cone has a height of 2 meters and a radius of 0.5 meters. Estimate…

Q: The radius of a sphere is given as 27 cm with a maximum error in measurement of .05 cm. Use…

A: From the given data:Radius of the sphere r=25cmMaximum error in radius of the sphere Δrr=0.05…

Q: The mass of part of a wire is x(1+ vx ) kilograms, where x is measured in meters from one end of the…

Q: The thickness of the shell is a = 0.7 centimeter. Use differentials to approximate the volume of the…

A: Volume of sphere V= 43π×r3 From given figure radius is 100 cm .

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: To use linear approximation to estimate the amount of paint in cubic centimeter needed to apply a…

Q: The radius of a circular disk is given as 28cm with a maximum error in measurement of 0.3 cm. Use…

Q: Determine: a) Differential Area (dA) b) bar X (x with line on top) c) bar Y (y with line on top)…

A: The x-coordinate of the centroid of a triangle can be obtained using the expression x=∫xdA∫dA. The…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: We use linear approximation to find the desired result.

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

Q: An astronaut using a camera measures the radius of Earth as 4000 mi with an error of ±80 mi. Use…

A: Please see the explanation below

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of.1 cm. Use…

A: Consider the edge length of the cube is a , so the volume of the cube is: V=a3 The surface area of…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: We know that volume of the sphare is V = (4/3)πr3. Here r is redius of the sphare . And volume of…

Q: spherical balloon is inflated with gas at a rate of 900 cubic centimeters per minute.

A: Volume of the sphere is V=43πr3where r = radius of the sphere

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

Q: The radius of a circular manhole cover is estimated to be 16 in. with a maximum error in measurement…

A: Due to our guidelines I am solving only first problem The radius of circular manhole r = 16 in

Q: the outside diameter of a thin spherical shell is 12 ft. If the shell is 0.3 inch thick, use…

A: Volume of a sphere with radius r is V=43πr3

Q: The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a)…

A: Solution:

Q: When a tornado passes near a building,there is a rapid drop in the outdoor pressure and the…

A: Pressure is measured as the ratio of force upon area

Q: the radius of a circular manhole cover is estimated to be 16 inch with a maximum error in…

A: The radius of the circular cover is given as, r=16 inch The error in the radius is given as, ∆r=0.06…

Q: The volume of a cube is growing at a rate of 2 in3/min. Determine the rate at which the surface of…

A: Given:The volume of a cube is growing at a rate of 2 in3/min, that is dVdt=2 in3/min, where V is the…

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of .1 cm. Use…

A: Topic = Derivative

Q: The linear density of a rod of length 4 meters is given by p(x) = 6 + 7Vx measured in kilograms per…

Q: Use differentials to estimate the amount of paint needed toapply a coat of paint 0.05 cm thick to a…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.04 cm thick to a…

Q: The radius of a circular disk is given as 28 cm with a maximum error in measurement of 0.2 cm. Use…

A: Write the expression for the area of the circle and take the derivative.

Question

use total differentials to approximate the value
of Volume cone of heightz1.004 and
diameter = 4.008

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Numerical Differentiation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

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.
A cubical box has interior measurement of exactly 3 meters long along each edge. If the material used for the sides, the top, and bottom of a box are all 0.005 meter thick, use differential to approximate the volume of the material used in constructing the box.
a steel pipe with an outside radius of 12 inches and a length of 2 ft is coated outside with 0.01 inches of copper. use differentials to estimate the volume of the copper for the coating.
Find volume around a curve by integration.
Use differentials to estimate the amount of paint needed toapply a coat of paint 0.05 cm thick to a hemispherical domewith diameter 50 m.
the radius of a circular manhole cover is estimated to be 16 inch with a maximum error in measurement of 0.06inch.use differential to estimate the maximum error in the calculated area of one side of the cover.what is the approximate average error and the approximate percentage error
A tin can has a circular base of radius 2 inches and height of 6 inches. If the thickness of its walls is 0.01 inches, use differentials to estimate the volume of material it is made of. (Include the sides, top and bottom in your estimation).
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.
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05cm thick to a hemispherical dome with a diameter of 50m.
The radius of a circular disk is given by 18cm. with maximum error in measurement of 0.1cm. Use differential to calculate the maximum error in calculated area of the disk. What is the error relative to the area?
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 radius of a sphere was measured to be 23 cm with at most possible error of 0.5 cm use differential to estimate the maximum error, relative error and percentage error in the calculated volume.