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Volume of cone =1/3.pi.r^2.h


r=6/2=3


h=12


Volume of cone =1/3.pi.3^2.12


Volume of cone =1/3.pi.9.12


Volume of cone =36.pi


Volume of cone =113,04
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irspow
You have half a sphere and a cone...the radius of the sphere is 6/2=3 so

V=(4π3^3)/3/2  

V=108π/6

V=18π

For the cone you have:

V=(hπr^2)/3 with r=3 and h=12 so

V=108π/3

V=36π

So the total volume is:

18π+36π

54π in^3

which is approximately..

≈169.646in^3

≈169.6in^3 (to nearest tenth of a cubic inch)