Answer:
Step-by-step explanation:
If you had a solid cylinder, in order to find the amount of material that makes up that solid cylinder, you would find the volume using the radius of 4 (half of the diameter 8). BUT we want to know the volume of the solid with the radius of 4 minus the solid that has a radius of 2.5 (half of the diameter 5).
That's volume outer - volume inner. To find the outer volume:
so
and
and do the same for the inner volume:
and

Subtract the inner from the outer:

If you need your answer in decimal form, then the volume is
9189.16 cm³
Answer:
the x axis I belive
Step-by-step explanation:
Answer:
2) Vertical translation of 10 units
Step-by-step explanation:
Given
H and H'
Required
Which maps H to H'
First, we pick the coordinate of any point on H

First, we pick a corresponding coordinate on H'

The above coordinates show that H and H' are not a reflection of one another because neither of the x or y coordinates negate one another.
By looking at the coordinates of H and H, we have:
H:
and H':
--- The same x coordinates
H:
and H':
--- Different y coordinates
The difference between the y coordinates is:





Hence,
<em>2) Vertical translation of 10 units
</em> is correct.
In a triangle, the angle with the greatest measure is always opposite to the longest side.