A portion of a blood vessel is measuredas having length 7.9 cm and radius 0.8 cm. If each measurement could be off by as much as 0.15 cm, estimate the maximum possible error in calculating the volume of the vessel.

A portion of a blood vessel is measuredas having length 7.9 cm and radius 0.8 cm. If each measurement could be off by as much as 0.15 cm, estimate the maximum possible error in calculating the volume of the vessel.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section12.6: Solving Problems Involving Quadratic Equations

Problem 1.3E

See similar textbooks

Related questions

Q: The regular 6-sided prism with a volume of 216 cm has a mantle three times larger than the base…

A: Solution of the problem as follows

Q: A closed cylindrical storage drum is to be made with a volume of 16 ft3. What are the dimensions of…

Q: Find the dimensions of a rectangle with area 1000m2 whoseperimeter is as small as possible.

Q: Find the total rebound distance of a ball that is dropped from a height of 7 m, with each rebound…

Q: A worker is constructing a cubical box that must contain 125 ft3, with an error of no more than 0.3…

A: Consider the given condition. A worker is constructing a cubical box that must contain 125 ft3, with…

Q: A delivery company accepts only rectangular boxes the sum of whose length and girth (perimeter of a…

Q: An icicle is gradually increasing in length, whilemaintaining a cone shape with a length 15 times…

A: It is given that an icicle is gradually increasing in length, while maintaining a cone shape with a…

Q: The radius of a sphere was measured and found to be 3 ft with a maximum error of 0.1 inches. Find…

A: Given r=3ft=36inches dr=0.1

Q: Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

A: Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

Q: The circumference of a sphere was determined as 84 cm with a possible error of 0.5 cm. Estimate the…

A: A circle's or sphere's circumference is equal to 6.2832 times its radius. The circumference of the…

Q: If the lateral surface area of a triangular prism is 250 square centimeter with a 15 cm base length…

Q: The volume of the closed cylindrical tank is 11.3 cubic meter, if the total surface area is a…

A: Given; The volume of the closed cylindrical tank is 11.3 cubic meter.

Q: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

A: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

Q: A metal cylindrical container with an open top is to hold one cubic foot. If there is no waste in…

A: Given: Volume = 1 cubic foot

Q: The Philippine Postal Service will accept a box for domestic shipment only if the sum of its length…

Q: The measurement of a side of a square is found to be 5 centimeters, with a possible error of 0.02…

Q: A sphere has a radius of 5.81 in., with a possible error of ± 0.003 in. Estimate the maximum error…

A: For a sphere of radius r the expression for the volume is V=43πr3. The error in r is denoted as ∆r.…

Q: Find the maximum volume of a cylindrical soda can such that the sum of its height and its…

A: we have to find the maximum volume of a cylindrical soda can such that the sum of its height and its…

Q: The circumference of a sphere is measured to be 84 cm with a possible error of 0.5 cm. a. What is…

Q: The measurement of a side of a square is found to be 6 centimeters, with a possible error of 0.05…

Q: A cylinder has a base diameter of 6m and a height of 12m. What is its volume in cubic m, to the…

Q: we have 27ft squared of material to build a box of maximum volume with a square base and no top.…

Q: A closed cylindrical tank is to be made from a material 230.91m2 in area. If the volume of the…

Q: If a city water supply has a limit of 250 ppm of nitrate ion, what is the maximum amount of nitrate…

A: Given: A city water supply has a limit of 250 ppm of nitrate ion. Find the maximum amount of nitrate…

Q: an upright cylinder with a base radius of 5cm and a height of 10cm has a possible error of 0.08cm…

Q: Determine the dimensions of a rectangular box, open at the top, having a volume of 32 cubic feet,…

Q: What are the dimensions of an open-top right circular cylindrical can that will hold a volume of 512…

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

Q: A cylinder has a base diameter of 10m and a height of 14m. What is its volume in cubic m, to the…

A: Volume of cylinder = πr2h

Q: A closed box with square base and vertical sides is to be made from 150 square feet of cardboard.…

Q: The factory designers are currently investigating whether a cone-shaped container can be replaced…

A: let the height of cone is h1 So , A/c the radius of cylinder and cone is same let 'r' and surface…

Q: A farmer has 400 ft of fencing with which to enclose a rectangular field adjacent to anexisting…

Q: If a closed tin can of volume 16? in3 is to be in the form of a right-circular cylinder, find the…

A: Consider the provided question, In your question given, If a closed tin can of volume 16? in3 to be…

Q: What are the dimensions of a closed rectangular box that has a square cross section, a capacity of…

A: Given, volume of rectangular box is 115 cube inches.

Q: We have 36ft2 of material to build a box of maximum volume with a square base and no top. What is…

A: To find the dimension of the square base for the optimum volume

Q: estimate the maximum possible error in the volume of the cube if the sides are 6ft with a possible…

A: To estimate the maximum possible error in the volume of the cube

Q: A can buoy is to be made of three pieces, namely, a cylinder and two equal cones, the altitude of…

A: A can buoy is to be made of three pieces, namely, a cylinder and two equal cones, the altitude of…

Q: A closed cylindrical tank is made of a metal sheet having an area of 43.82 square meter. If the…

Q: A pharmaceutical company wants to manufacture cylindrical aluminum cans with a volume of 1000 cm3 (1…

A: Since we know that, Surface area of cylinder, S=2πrh+2πr2 ...(1) And volume of cylinder, V=πr2h…

Q: A company is constructing an open-top square-based, retangular metal tank that will have a volume of…

Q: Find the dimensions of a box with largest volume whose surface area is 100 cm?.

Q: The total surface area of an industrial cylindrical autoclave is to be limited to 20 m². If it is…

A: Total surface area of the cylinder given = 20 m2Formula for calculating the surface area of the…

Q: a plastic right cylinder with closed ends is to hold v cubic feet. if there is not waste in…

A: Let r and h, in feet be radius and height of cylinder. Volume of cylinder is V cubic feet.

Q: There is an order to infuse normal saline at 25 drops per minute and a tubing set that says there…

A: Given, Flow rate = 25 drops/min Drop Factor = 15 drops/ml Volume = 1 liter = 1000 ml

Q: The volume of a closed cylinder tank is 11.3 m3 . If the total surface area is a minimum ,what is…

A: Introduction :

Q: Find the minimum amount of thin sheet that can be made into a closed cylinder having a volume of 108…

A: Topic: calculus

Q: A worker is constructing a cubical box that must contain 125 ft3 , with an error of no more than 0.3…

A: Given is a cubical box having volume 125ft3 Maximum error allowed is 0.3 ft3 To find tolerance level…

Q: The radius of a circular disk is given as 20 cm, with a maximum error measurement of 0.15 cm.…

A: Use the derivative to calculate the maximum error .

Q: A company wants to come up with a package box that has a square base a volume of 125 cubic ft. What…

Question

A portion of a blood vessel is measured
as having length 7.9 cm and radius 0.8 cm. If each measurement

could be off by as much as 0.15 cm, estimate the maximum possible error in calculating the volume of the vessel.

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 2 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

The numerical value of the volume of a cube equals the numerical value of its total surface area. What is the length of each edge of the cube?
A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can hold 7.5 gal of gasoline, what is the total storage capacity of the tank measured in gallons?
If the radius length of one sphere is three times as long as the radius length of another sphere, how do the surface areas of the spheres compare? How do the volume compare?
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the volume of a right circular cylinder that has a height of 4,600 inches and a base area of 53.00 square inches.
The gasoline tank on an automobile is box-shaped with dimensions of 24 in. by 20 in. by 9 in. If 1 ft3 corresponds to 7.5 gal of gasoline, What is the capacity of the automobiles fuel tank in gallons?
The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch for the lateral surface and 2 cents per square inch for the bases. What is the total cost of constructing the box?
Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?