SOLUTION: A person inflates a balloon. Assume that the balloon is spherical and that the person is blowing so that the volume increases at a rate of 1 L / s = 1000 cm3 / s (1 liter per secon
Algebra.Com
Question 1187837: A person inflates a balloon. Assume that the balloon is spherical and that the person is blowing so that the volume increases at a rate of 1 L / s = 1000 cm3 / s (1 liter per second). a) Find an expression for the radius r of the balloon expressed using the volume V. b) Since the volume V increases, the radius r will also increase. Find an expression for the growth rate (dr/dt) to the radius using the expression you found in a). c) How fast does the radius increase when the volume is 3 L
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A person inflates a balloon. Assume that the balloon is spherical and that the person is blowing so that the volume increases at a rate of 1000 cm3/s
------
a) Find an expression for the radius r of the balloon expressed using the volume V.
=============================
b) Since the volume V increases, the radius r will also increase. Find an expression for the growth rate (dr/dt) to the radius using the expression you found in a)
-----
=================================
Battery is low, bbl.
RELATED QUESTIONS
A spherical balloon is inflated so that its diameter is 40 ft.Find the surface area in... (answered by ankor@dixie-net.com)
Ren inflates a spherical balloon to a circumference of about 14 inches. He then adds more (answered by Alan3354,ikleyn)
The radius of a spherical balloon is four times that of another balloon. If the surface... (answered by Alan3354)
A spherical balloon has a volume of 50(pi)cubic units.
What is the diameter of the... (answered by Alan3354)
A person in a balloon which is 1200 feet above the airport finds that the angle of... (answered by stanbon)
An inflated balloon is spherical, with a diameter of 13.4 inches. What is the volume, in... (answered by rfer)
A weather balloon is filled with hydrogen at the rate of 0.5 ft^3/s. Initially, the... (answered by josmiceli)
My question has to do with the much used example, as it relates to scuba diving, of a... (answered by jim_thompson5910)
The radius of a spherical balloon is tripled. What is the increase in volume, as a... (answered by Alan3354)