Answered: Use differentials to estimate the…

Use differentials to estimate the amount of tin in a closed tin can with diameter 6 cm and height 20 cm if the tin is 0.04 cm thick. (Round your answer to two decimal places.)

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: 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 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: Gas is being pumped into a spherical balloon at the rate of 10 cubic inches per second. When the…

A: we have given that Gas is being pumped into a spherical balloon at the rate of 10 cubicinches per…

Q: 2. A spherical snowball melts at a rate of 367T in /sec. At what rate is the radius of the snowball…

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 cube is heated in such a way that the volume increases at a rate of 1 mm/s. The rate of change of…

A: A cube is heated in way that volume increases at the rate of 1mm/s. the side of the cube is 7mm…

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

A: Given : θ = 26.75°

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: Water is pouring from a hole at the rate of 25 cu. m per minute and is forming a conical pile on the…

A: This question can be solved by applying the concept of rate of change of physical quantities.

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: Use a linear approximation (or differentials) to estimate the given number. (Round your answer to…

A: We have find the approximation of 3√65 Let us take f(x)=3√x Linear Approximation will be L(x) =…

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: A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base…

A: Let x be the distance batter runs and D is the distance between the second base and the batter Lets…

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: The base radius r and height h of a right circular cone is measured as 5 inches and 10 inches,…

A: The volume of a right circular cone is given as, V=13πr2h The volume of the cone is a function of…

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

Q: Under certain conditions, cane sugar in water is converted into dextrose at a rate proportional to…

A: Given that, At time, t=0, the amount of cane sugar in water =75kg At time, t=30minutes, the amount…

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: If the radius of a circle increases by 3%, use differentials to approximate the increase in the area…

A: radius of a circle increases by 3%,

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: Use differentials to approximate the value of: 26

Q: A coat of paint of thickness 0.04 cm is to be applied uniformly to the faces of a cube of edge 30…

A: Given that a coat of paint of thickness 0.04 cm is to be applied uniformly to the faces of a cube of…

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: Use differentials to estimate the amount of paint needed (in m^3) to apply a coat of paint 0.04 cm…

A: Given that A hemispherical dome with diameter 56m. Here we have to use the differentials to…

Q: The thickness of the shell is a = 0.5 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: write a differential formula that estimates the given change in volume or surface area.

Q: Use differentials to approximate the change in the area of a square if the length of its side…

A: Area of a square with a side length of x cm is, Ax=x2 Here, x=5 cm & ∆x=5.32-5=0.32 cm Now…

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: Use differentials to estimate the amount of metal in a closed cylindrical can that is 18 cm high and…

Q: A baseball diamond is a square with with side 90 feet (between the bases). A batter hits the ball…

A: Roughly draw the situation first Where x= Distance covered by batter at time t D= Distance of the…

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: A triangular trough is 5 m long, 2 m wide at the top and 2 m deep. If industrial strength acid is…

A: Solution

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 amount of paint needed to apply a coat of paint 0.03 cm thick to a…

A: The diameter of the hemispherical dome is 42m.The volume of the hemisphere is,

Q: One side of a right triangle is known to be 9 cm long and the opposite angle is measured as 30°,…

A: Part (a) Side of the triangle is 15 cm, and opposite angle 30 degree with possible error of ± 1…

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: Air is being pumped into a spherical balloon at a rate of 4 cm3/min. Determine the rate at which the…

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: A weather balloon is rising vertically at the rate of 10ft/s. An observer is standing on the ground…

A: Given: -

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: your

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

A: We need to choose correct option.

Question

Use differentials to estimate the amount of tin in a closed tin can with diameter 6 cm and height 20 cm if the tin is 0.04 cm thick. (Round your answer to two decimal places.)
cm

Expert Solution

Step 1

Since volume is a function of both radius and height, therefore we will use method of partial differentiation.

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.