Mathematics, 02.04.2020 06:00 jhitotw

If the volume of a cone is 168 pi inches and its altitude is 14 inches, what is the radius of the cone? A. 36 inches B. 12 inches C. 72 inches D. 6 inches

Answers: 3

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The radius of the cone is 6 inches, which i mentioned in option D, for the volume of a cone is 168 $\pi$ inches and its altitude is 14 inches.

Step-by-step explanation:

The given is.

Volume of the cone is 168 $\pi$

Altitude of the cone is 14 inches

Step:1

Formula for Volume of cone is,

$V = \pi r^{2} \frac{h}{3}$ ....................................(1)

Where,

V = 168 $\pi$ cubic inches

h = 14 inches

Step:2

From the Eqn (1),

168 $\pi$ = $\pi r^{2} \frac{14}{3}$ (∵ Cancel $\pi$ on both sides)

168 = $r^{2} \frac{14}{3}$

168 × 3 = $r^{2} 14$

504 = $r^{2} 14$

$r^{2}$ = 36

r = $\sqrt{36}$

r = 6 inches

Result:

Thus the radius of the cone is 6 inches, If the volume of a cone is 168 pi inches and its altitude is 14 inches.

Answer from: Quest

the answer is 200

step-by-step explanation:

this is a problem about poisson probabilities. i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.

here's how you can see a poisson distribution coming. when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution. this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot. there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything. the form of the distribution is

probability of n chips = {[e^(-x)]*(x^n)} / (n! )

Answer from: Quest

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation:

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