Question 1A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumpingthe content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.)2A) 9800* S² (y³-11y²+28y) dy04(B)9800€7* (v³-9y² + 20y) dy4C98007 S* (y²³-7y² +12y) dy2(D)9800€S²(-y³ + 15y4-72y³ + 112y²) dy0

We need to find the integral for work done in pumping the content to a point 3m from the top of…

Answered: Question 1 A spherical tank of diameter…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

See similar textbooks

Similar questions

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?
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 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 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.
If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.
the weight W of a steel ball bearing varies directly with the cube of the bearing's radius r according to the formula W= 4/3 pi(p)(r)^3, where p is the density of the steel. The surface area of a bearing varies directly as the square of its radius because A = 4 pi(r^2) a. Express the weight W of a bearing in terms of its surface area b. Express the bearing's surface area A in terms of its weight. c. For steel, p = 7.85 g/cm^3. What s the surface area of a bearing weighing 0.62 g?
Please explain steps in details: Density of water is approximately 1000 kg/m^3 and gravity is 9.81 m/s^2 . The function y = x^2 from x = 0 to 2 is rotated about the y-axis. 1) Find the volume of the resulting solid 2) If the resulting solid is filled with water, find the work done in emptying it - assume all units of measurement are in meters. Do we subtract? 3) Find the surface area of the resulting shape (set up the integral, and find a numerical approximation)
#20
Find volume if area enclosed is rotated about y= -2.
Find dy/dx if ylnx + y^2 = 0. A rectangular solid with a square base has a surface area of 534.5 square centimeters. Whatdimensions will produce a solid with maximum volume? Use calculus and verifythat it gives a maximum volume.
*® r= 2 cos6, x'+gt+ 2° = 4 (3 %3D Find the volume
A trough is 12 meters long and 3 meters across the top (see figure). Its ends are isosceles triangles with altitudes of 3 meters. 2 m3 min 12 m 3 m 3 m (a) If water is being pumped into the trough at 2 cubic meters per minute, how fast is the water level rising when h is 1.5 meters deep? m/min (b) If the water is rising at a rate of 2.5 centimeters per minute when h = 2.0, determine the rate at which water is being pumped into the trough. m3/min

SEE MORE QUESTIONS

Recommended textbooks for you

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

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

Publisher:

McDougal Littell

SEE MORE TEXTBOOKS