# Find the mass of the given shape

1) (From prob_4.doc) Find the mass of the annulus (donut shape) having radius 1<r<2 when the density funciton rho(r,theta) = (1-ar^2) where a is a constant.

2) (From prob_5.doc) Find the total mass of the 3D object when the mass density rho and the object size is rho(r,phi,theta)=r^2sin(theta) where 1<r<2, 0<phi<pi and 0<theta<pi.

See the attached files.

© BrainMass Inc. brainmass.com October 9, 2019, 9:12 pm ad1c9bdddfhttps://brainmass.com/math/geometric-shapes/find-mass-shape-176737

#### Solution Summary

The solution finds the mass of the given shape.

$2.19