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.

1     sepan

2     encuentren

3     tenga

4     hable

5   parezca

6   llegue

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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