Question

IF 4. FIND THE MASS OF A CONICAL FUNNEL Z= 7x+y Oz<4 THE DENSITY PER UNIT AREA IS p=8-2.

Answer 1

I have assumed the cone to be open at top. AND since density is given in per area terms, take the lateral surface area of the cone calculating the mass.( If u want to change my assumption, let me know.)

+ z = x² + y² z O<Z24 z = x²+4² P = 8-2 en mass Area Zo Area at since density is in Mass/ Area Take the lateral surface height ring of cone has grz Wore: At height the circles r radius dz Lateral surface Area :- ds=% zdodz Ido Z whe dm - (8-2) 2 de de Jam= SJ (8-2) zdode where o: oto 2T & z: oto 4 4 S (82-22 10 72 de Z -0 21 [ 89-2374 3 2 T7 (*** 8x42-42 128 IT x 2 64-64) 2 ZT سارا M 256 3