Asked by yumie
The area of the surface of a sphere of radius r is 4πr^2. If the estimate radius of a spherical balloon is 200 meter and this estimate is too small by 1/2 meter. Find the approximate surface area in sq. m.
Answers
Answered by
Steve
dA = 8πr dr
dr = -1/2, so
dA = 8π*200*(-1/2) = -800π m^2
so, the area is approximately
4π*200^2 - 800π = 159200π
dr = -1/2, so
dA = 8π*200*(-1/2) = -800π m^2
so, the area is approximately
4π*200^2 - 800π = 159200π
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