Manny has a sock drawer that contains 3 green socks, 4 blue socks, and 2 yellow socks. Manny wants to know how often he can randomly select individual socks
from the drawer and pull out a pair of socks that are the same color. He randomly selects a sock with his left hand and then he
tandomly selects a sock with his right hand without replacing the sock in his left hand. Manny repeats this experiment 10 times
and the results are shown in the table below.
Based on these results, predict the number of times Manny will randomly pull a pair of socks from the drawer that are the same
color if he repeats this experiment 300 times

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: b.36 feet

step-by-step explanation:

17

step-by-step explanation:

51/3=17

thus 17 is your answer.