Function Composition Application
A spherical weather balloon is being inflated. The radius of the balloon is increasing at the rate of 3 cm per second. Express the surface area of the balloon as a function of time t\displaystyle {t} (in seconds). If needed you can enter π\displaystyle \pi as pi.

Recall surface area of a sphere is S=4⋅π⋅r2\displaystyle {S}={4}\cdot\pi\cdot{r}^{{2}}.
The surface area of the balloon as a function of time is .  

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