Ball Fitness
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A gym fitness ball is being inflated and its volume is increasing at a constant rate of 5 cm^3 per second.?
A gym fitness ball is being inflated and its volume is increasing at a constant rate of 5 cm^3 per second. At what rate is the radius of the ball changing when the radius is 34 cm?
i keep getting 5/13872pi
but the answer is 5/4624pi ,, seeming close, but i can't seem to know what I'm doing wrong
You should show your work if you want to know what you are doing wrong !
The problem is:
V = (4/3) π r^3
dV/dt = 4 π r^2 (dr/dt)
You know dV/dt = 5 cm^3/sec
You know r = 34 cm
solve for (dr/dt)
easy !
QED
dr/dt = 5/4624π cm
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