Answer:
D. 267.9 in3
Step-by-step explanation:
So we know the diameter is 16 inches.
So we need to find the radius and we do that by: 16/2 = 8 then it is reduced by half: 8/2 = 4
Now we need to find the volume.
V= 4/3 times 3.14 times 4^3= 268.08
So we would need to round which would give us 267.9 in3.
Therefore the answer is the D. 267.9 in3.
I hope this helps!!!
Answer:
x = 6
Step-by-step explanation:
r = 6 sec θ
r = 6 / cos θ
r cos θ = 6
x = 6
The graph is a vertical line passing through (6, 0).
Answer: They are fed 4/9 of what the polar bears are fed.
Step-by-step explanation:
7/9*4/7=
1/9*4/1=4/9
The 7's get cancelled out.
Part (a)
The radius is r = 42 because OA = 42.
The circumference, aka distance around the circle, is
C = 2*pi*r
C = 2*(22/7)*42
C = 264
We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.
So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150
<h3>
Answer: 150 degrees</h3>
==============================================================
Part (b)
Compute the area of the full circle
A = pi*r^2
A = (22/7)*(42)^2
A = 5544
Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)
(5/12)*(5544) = 2310
<h3>Answer: 2310 square mm</h3>
==============================================================
Side note: Both answers are approximate because pi = 22/7 is approximate.
