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An Airforce plane is ascending verticall...

An Airforce plane is ascending vertically at the rate of 100 km/h. If the radius of the Earth is r km, then how fast is the area of the Earth visible from the plane increasing at 3 min after it started ascending ? Given that the visible area A at height h is given by `A = 2pi r^(2) (h)/(r + h)`.

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The correct Answer is:
`therefore" "((dA)/(dt))_(t = 3) = (200 pi r^(3))/((r + 5)^(2))`
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