Question: Question A sphere is partially filled with air. The radius of the sphere is 1 1 feet. If the volume of the sphere is increasing

Question
A sphere is partially filled with air. The radius of the sphere is 11 feet. If the volume of the sphere is increasing at a rate of 548 cubic feet per second, what is the rate, in feet per second, at which the radius of the sphere is changing when the radius is 6 feet?
Round your answer to the nearest hundredth. (Do not include any units in your answer.)
Remember that the volume of a sphere is V=43r3.
Provide your answer below:
MORE INSTRUCTION
Question A sphere is partially filled with air.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock 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 Mathematics Questions!

Q:

Question 1 33 pts The nurse Is caring for a 31-year-old client. Nurses' Notes Emergency Department 0800: The client was brought to the emergency department by the parents after taking an unknown...

Q:

D Question 1 1 pts The height of a cone is increasing at a rate of 10 cm/sec and its radius is decreasing so that its volume remains constant. How fast is the radius changing when the radius is 4 cm...

Q:

AP Calculus AB/EC Related Rates Draw a gure for each problem. Label all variables. Identify an equation that relates the rates given. Differentiate with respect to time. Answer the question in a...

Q:

\fLet A be the area of a circle with radius r. If dr dA = 5, find dt when r = 2. dtl_J A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/ min. At what...

Q:

3.1 RELATED RATES A 5 Test your Self The side of a cube increasing at a rate of 4 m/sec. Find the rate at which the volume of the cube increases when the side of the cube is 3 m. Aspherical balloon...

Q:

11 questions A company's revenue from selling a units of an item is given as R = 1200x - 3x2. If sales are increasing at the rate of 25 units per day, how rapidly is revenue increasing (in dollars...

Q:

(1 point) A street light is at the top of a 12.0 ft. tall pole. A man 6.5 ft tall walks away from the pole with a speed of 5.5 feet/sec along a straight path. How fast is the tip of his shadow moving...

Q:

Let A be the area of a circle with radius r. If dr = 3, find dA dt when r = 1. dtA spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min. At what rate is...

Q:

Answer problem 26, 28, 30, 32, 34, and 36 as true or false 25. If f' (2) = 8'(2) = 8(2) 26. If f is differentiable and increasing and if dx = Ax > 0, then Ay > dy. 27. If the radius of a sphere is...

Q:

Example 3: (a) ) A spherical beach ball is being pumped so that its volume is increasing at a rate of 120 cubic centimeters per second. How fast is the radius of the balloon increasing when the...

Q:

Class: Section 01 Number of Questions: age Size: All Questions v Submit Save Save&Exit Check Print Exit & FAQ Question 1 point(s) Assume that I = I(t) and y = y(t). Find the indicated rate for...

Q:

Another utilization of cash flow analysis is setting the bid price on a project. To calculate the bid price, we set the project NPV equal to zero and find the required price. Thus the bid price...

Q:

Form groups and go to Jobstreet.com.my and look up job descriptions for positions in business (account executive in advertising, marketing manager, human resource director, production supervisor,...

Q:

Cain, the authorized signer on his company s accounts, prepared and signed a check payable to the company s plumber. He gave the check to Baker, his secretary , and asked her to mail the check to the...

Q:

What are some food related health care issues that inner cities are more likely to see than more affluent areas? Why are certain areas most likely to experience inadequate healthy food options than...