1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
castortr0y [4]
3 years ago
13

A sphere is partially filled with air. 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? Submit an exact answer. Remember that the volume of a sphere is V=(4/3)π*r^3.
Mathematics
1 answer:
Rama09 [41]3 years ago
8 0

Answer:

  137/(36π) ft/s

Step-by-step explanation:

The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...

  A = 4πr² = 4π(6 ft)² = 144π ft²

Then the relationship above is ...

  dV/dt = A·dr/dt

  548 ft³/s = (144π ft²)·dr/dt

  dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s

You might be interested in
Which expression gives the distance between the points (5. 1) and (9, -6)?
tresset_1 [31]
D^2=(x2-x1)^2+(y2-y1)^2
8 0
3 years ago
Now write a ratio of cups of sugar to
jolli1 [7]
What are the numbers that showed be in the ratio? I would love to help
6 0
3 years ago
Firewood is often sold by the cord. A cord of wood is a bundle measuring 4 feet by 4 feet by 8 feet. What's the volume of a cord
NARA [144]
To find the volume of the following Firewood, we would do this:

4 * 4 * 8 = 128 cubic feet

Therefore, the volume of the firewood is 128 cubic feet.
Make sure to mark as brainiest. 
3 0
3 years ago
A website has a 826,140 hits last month what is the value of the 8 in 826,140
guapka [62]
The value of 8 is in the hundred thousands

hope this helps
5 0
3 years ago
En un sistema masa resorte (masa atada a un muelle) ¿en qué punto la masa alcanza su máxima velocidad?
photoshop1234 [79]

Answer:

yo just search up Spanish translator

8 0
3 years ago
Other questions:
  • Samantha claims that 4x + 2 is equivalent to the expression x + 17 + 3x − 15.
    8·2 answers
  • Rachel mom 5 lawns in 8 hours at this rates how many can she mom in 40 hours
    8·1 answer
  • Adam runs 9 feet per second.
    9·1 answer
  • When the value of y is 12, then the value of x would be _____.?
    5·1 answer
  • What is 1/2 in decimal
    10·2 answers
  • Ok so I need to evaluate three questions without a calculator
    9·1 answer
  • Given the expression x- + 8x + 5, find the equivalent
    6·1 answer
  • Write the following number as a ratio of two integers.
    7·1 answer
  • In this question what does the value of ? equal to?
    14·1 answer
  • What is the circumference of a circle with a radius of 4cm? .​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!