Answer:
868 m³
Step-by-step explanation:
Volume = Difference of cones
V = ⅓(pi×r²h)
Volume of cone with base Circle O:
h = 8.2+8.2 = 16.4 m
V1 = ⅓(pi×7.6²×16.4)
V1 = 991.97
Volume of cone with base Circle A:
V2 = ⅓(pi×3.8²× 8.2)
V2 = 124 m³
Volume = V1 - V2
991.97 - 124 = 868 m³
Eliminate one variable at a time. We have three equations so we can solve for three variables.
(5x-y+z=4)-5(x+2y-z=5)=-11y+6z=-21
-2(x+2y-z=5)+(2x+3y-3z=5)=-y-z=-5
Now using the two yz equations above to cancel out z
(-11y+6z=-21)+6(-y-z=-5)=-17y=-51
-17y=-51 divide both sides by -17
y=3, making -y-z=-5 become:
-3-z=-5, z=2, making <span>5x-y+z=4 become:
5x-3+2=4
5x-1=4
5x=5
x=1
So the solution to the system of equations, (x,y,z) is (1,3,2)</span>
