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.

Question

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.

bobpursley · Answer

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

Ryan · Answer

25