Question 222764
A right circular cone of height 10m and base radius 5m has density given by p(x)
 = 100(20 - x) kg/m^3, where x is the perpendicular distance from the base.
 Find the total mass M of the cone.
:
p(x) = 100(20 - x)
Find the density: x = 10, (the height from the base)
p(x) = 100(20 - 10)
p(x) = 100(10)
p(x) = 1000 kg/cu.meter
:
Find the Volume of a cone: V = {{{(1/3)*pi*r^2*h}}}
V = {{{(1/3)*pi*5^2*10}}}
V = {{{(1/3)*pi*25*10}}}
V = 261.8 cu/meters
then
Mass = 261.8 * 1000
Mass = 26,1800 kg