Question

Find the mass of a conical funnel z=sqrt(x^2+y^2), 0$\leq$z$\leq$4 if the density per unit area is p=8-z

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Answer 1

Given that, density P= 8.2 The given solid is shown in the followers diagram Z Given aty=16 azy 22² 25 Y=122 and a-IZ X у V Z mats = Zzo rez tveir The mass & the Solid = SSS edade de Ś (8-z)dyanaz Integelen writy Scan (8-2)/13 dadz +5 (8-2) (U2F+JE]andr 4 = Z=0 ve 27 25-2 a--Z 14 2 (8-2) 2-20 dzda Z= a-z 4 Z ICT-2 is function) even =45 1 (8-2) W (8-2) 2 x dadz = Z o ato Inteneens wonita & fex) = 2 & fazen

sence a suara dn = avan 2 ta sin =454e-2) (4 142 szacze =45*82) (0+250cd-o] az = 2115 (82) rdz (Sin =) - S4682%. 22) &* Z=0 4 z=0 =T882 - 247 ST 8(4)3 = 645 ( 83 - 13 = 6471 (R-3 647 x B -3309 mass