Consider a circle with radius
centered at some point
on the
-axis. This circle has equation

Revolve the region bounded by this circle across the
-axis to get a torus. Using the shell method, the volume of the resulting torus is

where
.
So the volume is

Substitute

and the integral becomes

Notice that
is an odd function, so the integral over
is 0. This leaves us with

Write

so the volume is

Pattern A starts with 20 and substracts 3
First number = 20
Second number = 20 - 3 = 17
Third number = 17 - 3 = 14
Fourth number = 14 - 3 = 11
Pattern B starts with 10 and adds 2
First number = 10
Second number = 10 + 2 = 12
Third number = 12 + 2 = 14
Fourth number = 14 + 2 = 16
Now join pattern A and B
First combination = (20,10)
Second combination = (17,12)
Third combination = (14, 14)
Fourth combination = (11, 16)
The answer is d. (20,10), (17,12), (14,14), (11,16)
Ratio
28:84
If you want it simplified
it would be
1:3<span />
<span>gcf(48,56) = 8
</span><span>The factors of 48 are 48, 24, 16, 12, 8, 6, 4, 3, 2, 1
</span><span>The factors of 56 are 56, 28, 14, 8, 7, 4, 2, 1
</span>The matching factors for 48 and 56 are 1, 2, 4, and 8.
Answer:
64π inches² (approximately 201.06 inches²)
Step-by-step explanation:
where
is the radius
To find the radius, divide the diameter by 2
16 ÷ 2 = 8 inches
Plug in 8 as the radius

(approximately)
Therefore, the area of the circle is 64π inches², or approximately 201.06 inches².
I hope this helps!