Warm-Up y
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Complete each sentence.
Point A is located at
The ordered pair (-2, 4) is located at
4
S
N
х
-4.
-2
2
4.
-2.
Q
A
R
-4

b

step-by-step explanation:

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

answer: on kudzu, being female and being green are independent events.

step-by-step explanation:

hi i’m going tomorrow morning and i can come over and you out with this stuff for me haha ya day is going crazy and i’ll tell you what i’m talking about you don’t wanna go do you think i’m going to be a good friend i just don’t know how much you mean about the stuff you want to do and stuff you know i just want you and you know that i’m going crazy i don’t think i’m going crazy about going tomorrow and i’ll tell ya hey i don’t think i’m going crazy about going tomorrow and i’ll tell you what i’m done