msleyEvacspOralest msleyEvacspOralest
  • 19-11-2016
  • Mathematics
contestada

A spherical balloon is inflated so that its volume is increasing at the rate of 2 ft3/min. How rapidly is the diameter of the balloon increasing when the diameter is 1.7 feet?

Respuesta :

syed514
syed514 syed514
  • 20-11-2016
according to the question requirements 

v= 4/3*pi*r^3

dv/dt = 4*pi*r^2*dr/dt

when 
d= 1.7
r= 0.85
and 
dv/dt = 2

2= 4*pi*(0.85)^2*dr/dtthus the the speed of increasing of the balloon's diameter is 
dr/dt = 1/(2pi*(0.85)^2)

=0.2203 ft/min


Answer Link

Otras preguntas

Distribute: 4(5x - 2) thank you <333
Write an original test question on convergent boundaries. (Best question gets brainliest)
Marta makes 90%, percent of the free throws she attempts. She is going to shoot 3 free throws. Assume that the results of free throws are independent from each
Reread the conclusion of the text. Why does the author likely include the quote by Minavavana? What does this section contribute to the overall text?
Can you guys help me please ?!! Thank you!
2) A sample of argon has a volume of 5.0 Land the pressure is 650 mm Hg If the final temperature is 30. C, the final volume is 5.7 L, and the final pressure is
4. Which phrase best defines the term lobbyist? a lawmaker who tries to persuade citizens to support a policy someone hired to promote a specific product or ser
Which word has a syllable (word part) that is related to Greek mythology? definitive blockade hydraulic equality
How is the commercial aspect of art different today than during the Renaissance? Hurry please. 100% = Brainly
What is the equation for the line in slope-intercept form? ​