A machine part consists of a half-sphere and a cylinder, as shown in the figure.
The total volume of the part is _ π cubic inches.

  126π in³

Step-by-step explanation:

The volume of the figure is the sum of the volumes of the cylinder and hemisphere. The radius is half the diameter, so is 3 in. The volume formula for this figure is ...

  V = πr²h +2/3πr³ = πr²(h +2/3r)

  V = π(3 in)²(12 in + 2/3(3 in)) = π(9 in²)(14 in)

  V = 126π in³

The volume of the part is 126π cubic inches.

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.

9987

step-by-step explanation: