Use differentials to estimate the amount of metal in a closed cylindrical can that is 14 cm high and 6 cm in diameter if the metal in the top and the bottom is 0.4 cm thick and the metal in the sides is 0.05 cm thick. (Round your answer to two dec places.)

Use differentials to estimate the amount of metal in a closed cylindrical can that is 14 cm high and 6 cm in diameter if the metal in the top and the bottom is 0.4 cm thick and the metal in the sides is 0.05 cm thick. (Round your answer to two dec places.)

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter57: Fundamental Geometric Constructions

Section: Chapter Questions

Problem 5A: A carbide milling cutter is used for machining a 27.25-inch length of stainless steel. The cutting...

See similar textbooks

Related questions

Q: An engineering instrument is able to measure the side of a square to within ±0.05 mm (dr). First,…

A: Assume the area to be A and the side length be a. Use the derivative to determine the error dA for a…

Q: A circular plate is measured to have a diameter of 3.5 feet if the measurement could be off by as…

A: Given, The diameter of the circular plate,d=3.5feet The radius of the circular…

Q: Use a linear approximation (or differentials) to estimate the given number. sqrt(100.8)

A: Given that

Q: Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.06 cm…

A: Given information: The diameter of the hemisphere is 52 m that means the radius is 26 m. Formula…

Q: The measurement of the side of the cube is 6 cm long. If this length has an error of 1/12 cm. Find…

A: Topic = Derivative

Q: A closed rectangular box is to have an inside length of 8 meters, an inside width of 5 meters, an…

A: We need to find the material needed to make a container.

Q: You are given the task of building a spherical water tower with an inner diameter of 27.6 m and…

Q: A coat of paint of thickness 0.03 cm is to be applied uniformly to the faces of a cube of edge 29…

A: Let the side length of the cube be S = 29.Side increase on each side = 0.03 cm.Total increase in…

Q: The radius of a spherical balloon is measured as 8 inches, with a possible error of 0.02 inch. (a)…

Q: 3. The edge of a cube is measured to be 6 inches with a possible error of ±0.1 inch. Estimate the…

A: The error in measuring the edge of the cube is 0.1 inches. to find the error in the surface area and…

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cmand height 12…

A: Given : Diameter of tin = 8 cm. Height of tin = 12 cm. Thickness of tin = 0.04 cm. To estimate…

Q: The radius of a circular disk is measured and found to be 20cm, with a max error in measurement of…

Q: The radius of a spherical balloon is measured to be 9 inches, with a possible error of 0.03 inch.…

A: we know that surface area of sphere =4pi r^2 where r is the radius of sphere Given radius of…

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 17°,…

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: Write the differential formula that estimates the given change in volume or surface. Then, use the…

A: Let y=f(x) be a differential function. differential dx is an independent variable. the…

Q: You measure the angle from the ground to the top of the building from a point 70 feet away from the…

A: Given: Base, x=70 ft Let height of the building = h A rough sketch of the given problem is as…

Q: The measurements of an edge of a cube is found to be 15cm with a possible error of 0.01 cm. Use the…

A: We have a cube whose edge is 15 cm. The error in calculating the edge is 0.01 cm Now, this error can…

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A: The solution are next step

Q: One side of a right triangle is known to be 12 cm long and the opposite angle is measured as 30°,…

A: Part (a):To estimate the error in the length of hypotenuse.

Q: An open cylindrical tank is to have an outside coating of thickness 2cm. If the inner radius is 6cm…

Q: A hollow cylinder has a radius R of the outer surface, radius r of the inner surface and height h.…

A: Given, a hollow cylinder has a radius (R) of the outer surface, radius(r) of the inner surface and…

Q: Use differentials to estimate the amount of metal in a closed cylindrical can that is 30 cm high and…

A: Given a closed cylindrical can has height 30 cm and 6 cm is diameter. the metal in the top and…

Q: Use differentials to approximate the value of: 26

Q: Use differentials to approximate v410, and then compare your approximation with the actual answer…

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 6 cm and height 20…

A: Solution: The volume of the can is V=πr2h where r is the radius of can and h is the height of can.…

Q: complete solution

Q: A square is measured and each side is found to be 8 inches with a possible error of at most 0.01…

A: We are given that each side of a square is 8±0.1. Let x be the side of square and then the side of…

Q: 2. Assume Barry Bonds's head is a perfect sphere. If Dr. Beeresgood measures Barry's head's radius…

A: Given: r=5.8 in∆r=±0.021 in

Q: The thickness of the shell is a = 0.5 centimeter. Use differentials to approximate the volume of the…

Q: Suppose the measurement of the side of a square is to be 30 cm with an error of 0.03 cm. Use…

A: Definition used - Error in area of the square - ∆A=2x∆x Here x is…

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: write a differential formula that estimates the given change in volume or surface area. The change…

A: To write the differential formula that estimates the given change in volume or surface area.

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 11…

A: Let r and h be radius and height of tin can Then r varies from 4 cm to 4.04 cm and height changes…

Q: A painting contractor charges Php 120 per sq.m. for painting the four walls and ceiling of a room.…

Q: Use differentials to approximate the quantity √99.7

Q: Use differentials to estimate the amount of paint needed (in m³) to apply a coat of paint 0.07 cm…

Q: The measurement of the radius of the end of a log is found to be 28 inches, with a possible error of…

A: Solution:- It is given that the radius of the end of a log=28 inches. ⇒r=28 inches possible…

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

Q: 3. A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A: Solved below.

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

Q: Use differentials to estimate the maximum error in the volume of a rectangular box with square base…

A: Here we find the error in volume by using differential.

Q: Use differentials to approximate the change in the BMI when weight increases from 55 to 56.5 kg and…

A: Let's find.

Q: A conical glass, 10cm high and 8cm in diameter at the top is filled with an exquisite wine to a…

A: Find the sum of volume of the wine and ice cube and compare with the total volume of the conical…

Q: 13. The measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03…

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 12 cm and height…

A: The volume of a cylinder is given by the expression . Thus the volume of a thin cylinder is obtained…

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30°,…

A: Given, a One side of right triangle = 20c.m longand the opposite angle=30°=xpossible error=±1°Let…

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

Q: a machinist is required to manufacture a square metal plate with the side length of 5cm. if the…

A: The length of the metal plate is x=5cm. The machinist is allowed an error of 0.3 cm. The area of the…

Question

Use differentials to estimate the amount of metal in a closed cylindrical can that is 14 cm high and 6 cm in diameter if the metal in the top and the bottom is 0.4 cm thick and the metal in the sides is 0.05 cm thick. (Round your answer to two decimal
places.)
cm3

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Spheres$

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

A basketball has a volume of about 455.9 cubic inches. Find the radius of the basketball (accurate to three decimal places).
Find the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.
How much stock per stroke is removed by the wheel of a surface grinder if a depth of 4.725 millimeters is reached after 75 strokes? Round the answer to 3 decimal places.
A carbide milling cutter is used for machining a 27.25-inch length of stainless steel. The cutting time is 12.35 minutes, the cutting speed is 240 feet per minute, and the feed is 0.01 inches per revolution. What is the diameter of the carbide milling cutter? Round the answer to 2 decimal places.