Answer:
Volume of Cone =
![= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3](https://tex.z-dn.net/?f=%3D%20%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%282%29%5E2%20%284%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%284%29%284%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%203.14%5Ctimes%2016%20%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes50.24%5C%5C%5C%5C%3D16.746%5C%5C%5C%5C%5Capprox16.75%20%5Ctexttt%20%7Bft%7D%20%5E3)
Thus, Volume = 16.75 cubic feet
Step-by-step explanation:
Volume of a cone is given by the formula
![V=\frac{1}{3}\pi r^2 h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h)
Where r is the radius and
h is the height
Given radius r = 2 and
height is 2 times that.
So height is 2*2 = 4
Plugging these into the formula we get:
Volume of Cone =
![= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3](https://tex.z-dn.net/?f=%3D%20%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%282%29%5E2%20%284%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%284%29%284%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%203.14%5Ctimes%2016%20%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes50.24%5C%5C%5C%5C%3D16.746%5C%5C%5C%5C%5Capprox16.75%20%5Ctexttt%20%7Bft%7D%20%5E3)
Thus, Volume = 16.75 cubic feet
Answer:
B.
Step-by-step explanation:
Answer:
if u put that in latin then in spanish then back in english then someone might actually be able to answer that
Step-by-step explanation:
Answer:
<u><em>y' = 1 / sinxcosx</em></u>
Step-by-step explanation:
<u>Given :</u>
y = sinx + cosx / sinx - cosx
<u>Applying quotient rule :</u>
y' = [(sinx - cosx)(cosx - sinx) - (sinx + cosx)(cosx + sinx)] / (sinx -
cosx)²
y' = [sinxcosx - cos²x - sin²x + sinxcosx - (sinxcosx + cos²x + sin²x + sinxcosx)] / (sinx - cosx)²
y' = 2sinxcosx - 2sinxcosx - 2cos²x - 2sin²x / (sinx -cosx)²
y' = -2(sin²x + cos²x) / (sinx - cosx)²
y' = -2 / (sinx - cosx)²
y' = -2 / sin²x - 2sinxcosx + cos²x
y' = -2 / -2sinxcosx
<u><em>y' = 1 / sinxcosx</em></u> [⇒ Final answer]
Answer:
(13.5, 34.5)
Step-by-step explanation:
The empirical rule states that for a normal distribution, the data will fall within three standard deviations of the mean. 68% of the data falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
Given that mean (µ) = 24 and standard deviation (σ) = 3.5
Using empirical rule, the interval that represents the middle 99.7% = (µ ± 3σ) = (24 ± 3*3.5) = (13.5, 34.5)