Question: A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. (a) Find the rates of change of the radius

A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute.

(a) Find the rates of change of the radius when r = 30 centimeters and r = 85 centimeters.

(b) Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant.

Step by Step Solution

★★★★★

3.31 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Given The balloon is inflated with gas at the rate of 800 cubic centimeters per minute Lets assume t... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Q:

A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is (a) 30 centimeters (b) 60...

Q:

The radius r of a sphere is increasing at a rate of 3 inches per minute. (a) Find the rates of change of the volume when r = 9 inches and r = 36 inches. (b) Explain why the rate of change of the...

Q:

A spherical balloon is expanding from the sun's heat. Find the rate of change of the volume of the balloon with respect to its radius when the radius is 5 meters.

Q:

need help A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. Find the rate of change of the radius when the radius is 30 . Select 2 correct answer(s) \(...

Q:

1 A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute How fast is the radius of the balloon increasing at the instant the radius is 30 centimeters V 4 r 3 see...

Q:

A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is 30 centimeters

Q:

A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is 30 centimeters

Q:

l aT The raTe = 6. 1. A poinT is moving along The graph of The funcTiony = 1 , dr + X" Find for x = 2. d! 2. A spherical balloon is inflaTed wiTh gas aT The raTe of 800 cubic cenTimeTers per' minuTe....

Q:

triangle is not constant even u 13. Volume The radius r of a sphere is increasing at a rate of 3 inches per minute. (a) Find the rates of change of the volume when r = 9 inches and r = 36 inches. (b)...

Q:

4. [-/3 Points] DETAILS LARCALC11 2.6.014. A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute. (a) Find the rates of change of the radius when r = 70 centimeters...

Q:

Why does the battery design shown in Fig. 17.1 require a chemical membrane? Electron flow Electron flow A Anode B Cathode Electrolyte B+ At B+ B+ A+ A B+ Membrane

Q:

Matt gets utility from leisure (Le) and consumption (X) and his preferences can be represented by the following utility function, U(Le, X)=(/2+X/2)2. Matt has T hours per day to devote to working...

Q:

Suppose that the USD/ZAR spot rate is quoted as 13.50ZAR and the GBP/USD is $1.30. The cross exchange rate between GBP/ZAR is? Question 17Select one: a. 17.55ZAR b. 13.50ZAR c. 10.38ZAR d. Cannot be...

Q:

=+Calculate a weighted average cost of capital given that the balance sheet entry "Creditors falling due after more than one year' consists entirely of the nominal value of a debenture issue and this...

Q:

Prove the following Extended Mean Value Theorem. If and ' are continuous on the closed interval [a, b], and if " exists in the open interval (a, b), then there exists a number c in (a, b) such that...

Q:

Let Determine all values of the constant c such that has a relative minimum, but no relative maximum. C f(x) = =+ x. X

Q:

Graph the fourth degree polynomial for various values of the constant a. (a) Determine the values of a for which p has exactly one relative minimum. (b) Determine the values of a for which p has...

Q:

Which of the following will have no effect on the break-even point in units? The selling price increases The variable cost per unit increases The sales volume increases Total fixed costs increase

Q:

4 PLASTIC CORPORATION Plastic Corporation acquired EIGHTY (80%) PERCENT of Synthetic Corporation's ordinary share on January 1,2012 for P210,000 Cash. The Shareholder's equity of Synthetic at this...

Q:

what is the business income?services and has sales, employees, property, and commercial domicile as follows: HH ' s sales of goods and services by state are as follows: H H has federal taxable income...