Question 1193218
Air is being pumped into a spherical balloon at a rate of 100cm3/min. Determined the rate at which the radius of the balloon is increasing when the radius of the balloon is 10cm?
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V = 4pi*r^3/3
dV/dt = 4pi*r^2*dr/dt = 100
dr/dt = 25/(pi*r^2) = 1/(4pi) cm/minute
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This solution ignores physical properties such as changes in temperature and pressure of the gas.