The surface area Sr (in square meters) of a spherical balloon with radius r meters is given by =Sr4πr2.The radius Pt (in meters) after t seconds is given by =Pt53t.Write a formula for the surface area Nt (in square meters) of the balloon after t seconds.It is not necessary to simplify.
Question
The surface area Sr (in square meters) of a spherical balloon with radius r meters is given by =Sr4πr2.The radius Pt (in meters) after t seconds is given by =Pt53t.Write a formula for the surface area Nt (in square meters) of the balloon after t seconds.It is not necessary to simplify.
Solution
The surface area Nt of the balloon after t seconds can be found by substituting the expression for Pt into the formula for Sr.
So, Nt = 4π(Pt)^2
Substituting Pt = 53t into the equation gives:
Nt = 4π(53t)^2
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