Hi, in my class we have been introduced to conic solids and finding volume via integration methods. However, I am struggling with completing this problem. How would I find the mass in kg using integration method?

A hole in the ground in the shape of an inverted cone is 16 meters deep and has radius at the top of 19 meters. This cone is filled to the top with sawdust. The density, p, of the sawdust in the hole depends upon its depth, r: p(I) = 2.4 - 1.5e -0.4x kg m3 The total mass of sawdust in the conical hole is: kg V = [ d Aly ) dy C r = 19 m Density 6 5 ) = 2. 4 - 1.5 e - 0.4 x Kq P M 3 -7 16 m deep Volume = Ary ) = 3 rah = 3 TT ( 19 ) 2 ( 16 ) m ? D 0 4048. 6130551 Volume Density = /Mass volume volume mass - Densing. Volume - 571 4 4 . ( 2.4 - 1. 5 p - 0.4 x) 3 kg