At what rate does the volume change with respect to radius

Reference no: EM131014196

The volume V = (4/3) π r³ of a spherical balloon changes with the radius.

a. At what rate (in³ in) does the volume change with respect to the radius when r = 6 in?

b. Using the rate from part a, by approximately how much does the volume increase when the radius changes from 6 to 6.2 in?

Reference no: EM131014196

Questions Cloud

How does it affect the bootstrap standard error : Based on your work in these exercises, how does non- Normality of the population affect the bootstrap distribution of x? How does it affect the bootstrap standard error? Do either of these effects diminish when we start with a larger sample?

Calculate the indicated partial derivatives at given point : Assume z is a function of x and y, defined implicitly by the equation -4xyz + yx + z2 + z + 7. Calculate the indicated partial derivatives at the point (x,y,z) = (1,3,1).

What is the expected level of sales for next year : Gary’s Pipe and Steel company expects sales next year to be $1,000,000 if the economy is strong, $700,000 if the economy is steady, and $385,000 if the economy is weak. Gary believes there is a 20 percent probability the economy will be strong, a 65 ..

Explain how adjusted book value approach to valuing assets : Using AstraZeneca plc’s 2014 annual report and financial statements, explain how an adjusted book value approach to valuing assets and liabilities moves book value nearer to economic value. You are required to provide a written response which highlig..

At what rate does the volume change with respect to radius : At what rate (in3 in) does the volume change with respect to the radius when r = 6 in? Using the rate from part a, by approximately how much does the volume increase when the radius changes from 6 to 6.2 in?

What is the estimated cost of the common equity to the firm : The common stock for the Hetterbrand Corporation sells for $ 60.55, and the last dividends paid was 2.31. five years ago the firm paid 1.81 per share and dividends are expected to grow at the same annual rate in the future as they did over the past f..

Establish the issues of concern regarding the clients : From the information given, you have to establish the issues of concern regarding the clients' situation, and to outline how you propose to address them in order to better achieve the clients' wishes.

What is your rate of return if the stock sells for share : Using options Quotations (LO4, CFA4) in problem 14, suppose JC penney stock sells for $25 per share immediately before your options “expiration. What is the return on your investment? What is your rate of return if the stock sells for 29$ per share (..

Calculate the beginning-of-year balance for long-term debt : Dogs 4 U Corporation has net cash flow from financing activities for the last year of $36 million. The company paid $182 million in dividends last year. During the year, the change in notes payable on the balance sheet was $41 million and change in c..

User Account

All Pages