Answered: Use differentials to estimate the…

Use differentials to estimate the amount of tin in a closed tin can with diameter 12 cm and height 14 cm if the tin is 0.04 cm thick. (Round your answer to two decimal places.) cm3

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter63: Volumes Of Pyramids And Cones

Section: Chapter Questions

Problem 18A: Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise...

See similar textbooks

Related questions

Q: The Wally Packing And Tanning Company uses cubic boxes to ship high tech tanning widgets. The…

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: b. Use the differential you've just calculated to estimate the value of 9.2

A: Given that y=x-4. We need to find i)dy when x=13 and dx=0.2. ii) we need to calculate the value of…

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

A: We want to write a differential formula that estimates the changes in surface area of right circular…

Q: The height (in meters) of a projectile shit vertically upward from a point 4 m above ground level…

A: since you have posted multiple sub parts of a question in a single pic, As per our guidelines we…

Q: 11. Gas is being pumped into a spherical balloon at a rate of 5ft^3/min. Find the rate at which the…

Q: Use differentials to approximate the quantity. (Give your answer correct to 4 decimal places.)…

Q: A rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high…

A: The height is h(t) = (-1/2)gt2 + v0t + h0 Where g= 9.8 m/s2 v0 = 27 m/s h0 = 23m…

Q: Use differentials to estimate the value of V1.3. Compare the answer to the exact value of V1.3.

Q: The percentage y of consulted books in a library specialized in literature about areonautics is…

A: a) Given model:

Q: Beginning at rest, an automobile drives around a circular trackof radius R = 300 m, accelerating at…

A: Given : radius R = 300 m Acceleration = 0.3 ms2 Coefficient of…

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: A circle has a radius of 5 cm jf the radius is increased by 0.l mm., what is the estimated increase…

Q: 10. Gas is escaping from a spherical balloon at a rate of 2 cubic feet per minute. How fast is the…

Q: A conical solid is measured to have a base radius of 4 inches with a possible error in measurement…

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: Water leaks from a tank at a rate of 2 + 5t liters/hour (L/h), where t is the number of hours after…

A: Given, water leaks from a tank at a rate of 2 + 5t liters/hour (L/h), where t is the number of hours…

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A: Let x=27, dx=2 y=x3=x13dydx=13x13-1 =13x-23=13x23 At x=27 dy=dx3x23=2327×273=227dy=0.0740

Q: Suppose a spherical balloon grows in such a way that after t seconds, its volume V is given by V = 4…

Q: One side of a right triangle is known to be 45 cm long and the opposite angle is measured as 30°,…

A: a) Given that one side is 45 cm long and the opposite angle is measured as 30° with a possible error…

Q: 4/81.6

A: Given: 81.64 The formula for approximation using differential is L(x)≅ f(a)+f'(a)(x-a)

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

A: It is given that, the change in lateral surface area (S) of a cylinder when the height changes from…

Q: The base of the Great Pyramid at Giza is a square that is 20 m on each side. (a) As illustrated in…

A: Answer is mentioned below

Q: Suppose a spherical balloon grows in such a way that after t seconds, its volume V is given by V = 4…

Q: 4 V-ユx ズr 3.

A: Solve with differentiate

Q: Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm…

A: Our Aim is to find the amount of paint required to coat thickness of 0.04 cmby considering a…

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: 10. A rectangular trough is 10 ft long and 3 ft wide. Find how fast the surface rises, if the water…

Q: The thickness of the shell is a = 0.9 centimeter. Use differentials to approximate the volume of the…

A: To approximate the volume of the shell using differentials. Given, thickness=0.9cm radius=100cm

Q: The base of the Great Pyramid at Giza is a square that is 230 m on each side. (a) As illustrated in…

Q: Use differentials to approximate the quantity 3 √7.8 (The cubes root of 7.8)

A: Given:

Q: A lighthouse is located on a small island, 5 km away from the nearest point P on a straight…

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

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

Q: The thickness of the shell is a = 0.2 centimeter. Use differentials to approximate the volume of the…

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: Use differentials to approximate the quantity. (Give your answer correct to 4 decimal places.) 99.7…

Q: The surface area of a cube is increased from 216 square centimetres to 227.664 square centimeters.…

A: calculate the cube side and increase by side length.

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

A: a) To write the differential formula which gives the change in volume of a right circular cylinder…

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

A: Given: The volume of a sphere having radius r is given by V=43πr3 The radius of sphere changes from…

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

A: Provide the function as shown below.

Q: In the Newton's Law of Cooling, at small differences of temperatures between the body and the…

A: Recall: The rate of loss of heat is directly proportional to the difference in the temperatures…

Q: 01/ Water poured into a conical tank through a faucet, this tank has a base radius of 5 ft and 10 ft…

A: according to our guidelines we can answer only three subparts, or question and rest can be…

Q: Use differential to approximate the value e1.01.

Q: 3) Water is running from a vertical cylindrical tank 3 m in diameter at the rate of 3ayh , where h…

A: Given, Diameter of the cylindrical tank=3m Radius of the cylindrical tank, r=32=1.5m Volume of the…

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: 6. Air is being pumped into a spherical ball at a rate of 7 cm³/sec. What is the rate of change of…

Q: Use differentials to approximate to 3 decimal places ( 1.09 ) 1/3

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

A: Given:

Q: your

Question

Use differentials to estimate the amount of tin in a closed tin can with diameter 12 cm and height 14 cm if the tin is 0.04 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 11 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

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.
Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A right circular cone 12.7 centimeters high contains 198.7 cubic centimeters of material. Find the area of the base of the cone. Round the answer to the nearest square centimeter.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A vessel in the shape of a right circular cone has a capacity of 0.690 liter. The base diameter is 12.30 centimeters. What is the height of the vessel? One liter contains 1000 cubic centimeters.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid brass casting in the shape of a right circular cone has a base diameter of 4.36 inches and a height of 3.94 inches. Find the weight of the casting. Brass weighs 0.302 pound per cubic inch.
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?