Answer:
V=1884 Cubic mm
Step-by-step explanation:
We know that the volume of the Sphere is given by the formula

Where r is the radius and h is the height of the cylinder
We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.



Where
is the the volume of solid cylinder with radius
and height h
is the volume of the cylinder being carved out with radius
and height h
where
mm ( Half of the bigger diameter )
mm ( Half of the inner diameter )
mm
Putting these values in the formula for V we get




To find the scale factor divide the bigger measurement by the smaller one.
You did number 17. 42 / 3 = 14 so your scale factor is 14, option D.
For number 18, 48 / 6 = 8 so option A.
You can find the simplest form by dividing both the numerator and denominator by the GCF (greatest common factor). 100 divides into 100 and 1,000 equally so that can be the GCF used to reduce the fraction into its simplest form.


The simplest form is
.
Answer:
20
Step-by-step explanation:
10+10=20
Answer:
A) m < -175/k and B) 3c/5 - 11
Step-by-step explanation:
A) Add 90 to both sides. -mk > 175.
Next, divide both sides by -k. Because you divide by a negative, don't forget to reverse the sign!
m < -175/k.
B) Subtract 3c from both sides.
-5f = 55 - 3c.
Now multiply both sides by -1/5.
f = 3c/5 - 11