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Ulleksa [173]
3 years ago
11

A spherical balloon with radius r inches has volume defined by the function below. Find a function that represents the amount of

air required to inflate the balloon from a radius of r inches to a radius of r + 4 inches. (Give the answer in terms of π and r.)

Mathematics
1 answer:
bixtya [17]3 years ago
4 0
<span>v = 4/3*pi*r^3

derivating both sides with respect to t 
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/dt
 
thus
dr/dt = 1/(2pi*(0.85)^2)
        =1/(2*3.14*0.85^2)
        =0.22</span><span />
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