Question

Calculus - Problem 16 - Answer all parts for full credit and show your work. A...

Calculus - Problem 16 - Answer all parts for full credit and show your work.

A right circular cylinder with radius r and height h, both in centimeters, has the property that r + h = 9 centimeters.

A. Determine a formula for the volume V as a function of the radius r. (No other variables can be used.)

B. Determine an appropriate domain for V as a function of r, and explain briefly.

C. Use your function V and domain above to determine the largest possible volume of such a cylinder.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose the radius, height and volume of a right circular cylinder are denoted as r, h,...
Suppose the radius, height and volume of a right circular cylinder are denoted as r, h, and V . The radius and height of this cylinder are increasing as a function of time. If dr/dt = 2 and dV/dt = 10π when r = 1, h = 2, what is the value of dh/dt at this time?
classical Mechanics problem: Find the ratio of the radius R to the height H of a...
classical Mechanics problem: Find the ratio of the radius R to the height H of a right-circular cylinder of fixed volume V that minimizes the surface area A.
The volume of a right circular cylinder is given by V= πr2h, where r is the...
The volume of a right circular cylinder is given by V= πr2h, where r is the radius of its circular base and h is its height. Differentiate the volume formula with respect to t to determine an equation relating the rates of change dV/dt , dr/dt , dh/dt.   At a certain instant, the height is 6 inches and increasing at 1 in/sec and the radius is 10 inches and decreasing at 1 in/sec. How fast is the volume changing at...
2. Answer all parts of the quests below and show your work for full credit. What...
2. Answer all parts of the quests below and show your work for full credit. What assumptions about a rival’s response to price changes underlie the kinked-demand curve for oligopolists? Why is there a gap in the oligopolist’s marginal-revenue curve? How does the kinked-demand curve explain price rigidity in oligopoly? What are the shortcomings of the kinked-demand model?  
Cones come in a few varieties, and we will consider the right circular cone. A cone...
Cones come in a few varieties, and we will consider the right circular cone. A cone with a circular base is a circular cone. A circular cone whose axis is perpendicular to the base is a right circular cone. 1.Create a new class called .Include a Javadoc comment at the top of the class. The Javadoc comment should contain: i.The name of the class and a (very) short description ii.An @author tag followed by your name iii.An @version tag followed...
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If...
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 516π ft3, determine the radius and height of the silo that requires the least amount of material to build. Hint: The volume of the silo is πr2h + A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 516π ft3, determine the...
For full credit be sure to show all work and units. 1. A 20 foot ladder...
For full credit be sure to show all work and units. 1. A 20 foot ladder leans against a vertical wall. The bottom of the ladder slides away from the wall at 2 ft/sec. a. How fast is the top of the ladder sliding down the wall when the top of the ladder is 12 feet from the ground? b. Interpret the meaning of the sign. 2. The current speed record for weight loss is 487 pounds to 130 pounds...
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If...
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 498π ft3, determine the radius and height of the silo that requires the least amount of material to build. Hint: The volume of the silo is πr^2h + 2 3 πr^3, and the surface area (including the floor) is π(3r^2 + 2rh). (Round your answers to one decimal place.) r= ft h= ft
Answer each question and justify your answer in one or two sentences. Question 1 Which one...
Answer each question and justify your answer in one or two sentences. Question 1 Which one of the following objects has the largest mass? a) a gold solid cube with each side of length r b) a brass solid sphere of radius r c) a silver solid cylinder of height r and radius r d) a lead solid cube with each side of length r e) a concrete solid sphere of radius r Question 2 Three fourths of the volume...
Please read carefully. You must show all of your work for full credit. A correct answer...
Please read carefully. You must show all of your work for full credit. A correct answer with no work shown is worth no points, but an incorrect or partial answer with some work shown may be worth partial credit I. The following ANOVA are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing.                    Anova: Single Factor                                                                                                                                                                                                       SUMMARY                   ...