53. Estimating Volume You can estimate the volume of a sphereby measuring its circumference with a tape measure, dividing by27 to get the radius, then using the radius in the volumeformula. Find how sensitive your volume estimate is to a 1/8 in.error in the circumference measurement by filling in the tablebelow for spheres of the given sizes. Use differentials whenfilling in the last column.Sphere Type True Radius Tape Error Radius Error Volume ErrorOrange2 in.1/8 in.Melon4 in.1/8 in.Beach Ball7 in.1/8 in.

Sphere type True Radius Tape Error Radius Error Volume Error Orange 2 in. 1/8 in. Melon 4…

Answered: 53. Estimating Volume You can estimate…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 58AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

See similar textbooks

Similar questions

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. The frustum of a right circular cone has a larger base area of 40.0 square centimeters and a smaller base area of 19.0 square centimeters. The height is 22.0 centimeters. Find the volume. Round the answer to the nearest cubic 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.
A piece in the shape of a pyramid with a regular octagon (eight sided) base is machined from a solid block of bronze. Each side of the octagon base is 9.36 inches long. The height of the piece is 7.08 inches. The octagon base area 4.829, where s is the length of a side of the octagon. a. Determine the volume of the piece. Round the answer to the nearest cubic inch. b. Determine the weight of the piece. Round the answer to the nearest pound. Note: One cubic foot of the bronze used weighs 547.9 pounds per cubic foot.
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.
Estimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is R=1/1014.
The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.) cm2What is the relative error? (Round your answer to three decimal places.)(b) Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer.) cm3What is the relative error? (Round your answer to three decimal places.)
One side of a right triangle is known to be 26 cm exactly. The angle opposite to this side is measured to be 60∘, with a possible error of ±0.3∘. Round your answers to three decimal places.(a) Use differentials to estimate the errors in the adjacent side and the hypotenuse.Propagated error in the adjacent side: ± ? cmPropagated error in the hypotenuse: ± ?; cm(b) Estimate the percentage errors in the adjacent side and hypotenuse.Percentage error in the adjacent side: ± ? %Percentage error in the hypotenuse: ± ? %
The radius of a sphere is measured as 4 centimeters, with a possible error of 0.025 centimeter. a. Use differentials to approximate the possible propagated error, in cm3, in computing the volume of the sphere. (b) Use differentials to approximate the possible propagated error, in cm2, in computing the surface area of the sphere. (c) Approximate the percent errors in parts (a) and (b). (Round your answers to two decimal places.) volume % surface area %
A drug is being delivered into a patient’s arm at a rate of 12.5 mL min–1. The drug is being delivered from a syringe through a 5 cm long needle with a radius 0.75 mm. If patient’s blood pressure is 120 kPa, what must the pressure in the syringe be? (ηdrug = 4.90×10-5 Pa s).
You want to calculate the volume of air that occupies a standard volleyball. You measure the diameter of the balloon with a ruler graduated to the millimeter. The measurement is rather difficult to take, but you trust that the correct measurement is somewhere between 20.8 cm and 20.9 cm. Calculate the volume of air inside the balloon as well as the uncertainty of this value and give the answer in cm^3. Keep all the precision during your calculations and a minimum of 3 significant digits in your answer, do not round to respect the rules of presentation of a result for this number.
A tank initially contains 200 L of pure water. Salt enters into the solution constantly 5 kilograms for every minute, then will be mixed well into the contents of the tank. If the well-mixed solution exits from the tank at the rate 10 L per minute, determine the salt concentration (kilograms) at the instant the tank contains a volume of 80 L. Express your answers accurate to four decimal places. No need to put the unit of measurement. Do not include spaces.
The measurement of the edge of a cube is measured to be 9 inches, with a possible error of 0.03 inch. Use differentials to approximate the possible error and the relative error in computing the following values. (Round your answers to three decimal places.) (b) the surface area of the cube possible error ± relative error ±

SEE MORE QUESTIONS

Recommended textbooks for you

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS