SOLUTION: Ren inflates a spherical balloon to a circumference of about 14 inches. He then adds more air to the until the circumference is 18 inches. What volume of air was added to the ballo

Algebra.Com
Question 1187439: Ren inflates a spherical balloon to a circumference of about 14 inches. He then adds more air to the until the circumference is 18 inches. What volume of air was added to the balloon?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Ren inflates a spherical balloon to a circumference of about 14 inches. He then adds more air to the until the circumference is 18 inches. What volume of air was added to the balloon?
-----------------
C = 2pi*r
14 = 2pi*r --> r = 7/pi
18 = 2pi*r --> r = 9/pi
================
Vol = 4pi*r^3/3
Diff = 4pi/3*((9/pi)^3 - (7/pi)^3)
= 4pi*(386/pi^3)
= 1544/pi^2 = ~156.44 cubic inches (assuming constant temp and pressure) but adding air does increase the pressure.
================
"about 14 inches" makes it less accurate.
Not a well posed problem.

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

The question of the problem is posed in  ILLITERATE  way.

You can not point the volume of the air without pointing its pressure.


Do not shame yourself,  creating such kind illiterate  " problems ".



RELATED QUESTIONS

An inflated balloon is spherical, with a diameter of 13.4 inches. What is the volume, in... (answered by rfer)
dan needs his spherical balloon to have a circumference to 16 pi inches. how much helium... (answered by josgarithmetic)
When a spherical balloon is filled with air, it has a diameter of 6 inches. Which of... (answered by Alan3354)
A spherical balloon with radius r inches has a volume V(r)=4/3(pi)r(cubed). Find a... (answered by ankor@dixie-net.com)
To the nearest tenth of a square inch, how much surface area is added to a spherical... (answered by jorel1380)
To the nearest tenth of a cubic inch, how much volume is added to a spherical balloon... (answered by Alan3354)
To the nearest tenth of a cubic inch, how much volume is added to a spherical balloon... (answered by Alan3354)
A person inflates a balloon. Assume that the balloon is spherical and that the person is... (answered by Alan3354)
How many spherical water balloons with a radius of 1 inch would it take to equal the... (answered by Alan3354)