A machine part consists of a half sphere and a cylinder as shown in the figure. What is the total volume of the part?

Question

anonymous · Answer

72π  cubic inches


108π  cubic inches


126π  cubic inches 


144π  cubic inches

anonymous · Answer

$$volume = \pi  r{2} h$$

anonymous · Answer

$$\pi = 3.14$$

anonymous · Answer

r = radius

anonymous · Answer

2 is an exponent so radius times radius

anonymous · Answer

and h equals height this is how you find the volume of the cylinder we will find the volume of the half sphere next

anonymous · Answer

what is the radius?

anonymous · Answer

3?

anonymous · Answer

correct

anonymous · Answer

okay so you do 3.14 times 3 which is?

anonymous · Answer

9.42

anonymous · Answer

yes

anonymous · Answer

so 9.42 times twice?

anonymous · Answer

opps I think we were supposed to do 3 times 3 first then multiply it by 3.14

anonymous · Answer

either that or your way i have not done this in a while

anonymous · Answer

hold on

anonymous · Answer

okay lets do your way and see if it comes out right

anonymous · Answer

volume= 3.14(3)(2) = 18.84

18.84(12) = 226. 08

anonymous · Answer

my answer i got is not one of the choices

anonymous · Answer

we are not finished yet we need to incorporate the half a spheres volume in hold on let me give you the equation

anonymous · Answer

pi(3)^2+((1/2)*(4/3*pi*(3)^3))=126*pi

anonymous · Answer

thank u its correct

anonymous · Answer

I don't know if I was meant to just give the answer or not but there you go.