Substitute r(t) into the S(r) formula to get

S(t) = 4pi(2/3t^2)^2

= 4pi(4/9t^4)

= (16/9)pi*t^4

After 2 seconds:

S(2) = (16/9)pi*(2^4)

=(16/9)pi(16) = 89 square meters

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