# Word Problem

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The surface area of a balloon is given by S(r) = 4(pie)r^2, where r is the radius of the balloon. If the radius is increasing with time t, as the balloon is being blown up, according to the formula r(t)=4/5t^3,t>=0, find the surface area S as a function of the time t.

• Word Problem -

r= 4/5 t^3

S=4PI (4/5 t^3)^2 and then you simplify that.

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