oximation: Problem 8 PreviouS Problem List Next (1 point) Ge see a similar examp

Question

oximation: Problem 8 PreviouS Problem List Next (1 point) Ge see a similar example (PDF) Use a differentia (linear approximation) to estimate the amount of pain in cubic centimeters needed to applya cot of paint 20 cm thick to a hemispherical dome with a radius of 22 meters ANSWER: cma Preview My Answers Submit Answers Show me another You have attempted this problem 0 times You have 20 attempts remaining Page generated at 02/728/2016 at 08: 14pm EST WeBWorK O 1996-2016 | theme: math4 I ww version: 2.11 1 pg version: 2.11] The WeBWorK Project

Explanation / Answer

volume of hemisphere v=(2/3)r3,where r is the radius

given radius =22m=2200cm, thickness of paint =1/20cm =0.05cm =>dr =0.05cm

v=(2/3)r3

differentiate on both sides

dv=(2/3)3r2dr

dv=2r2dr

dv=2(2200)2*0.05

dv=1520531cm3

amount of paint required =1520531cm3

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