Answer:
height of the cone = 4.01273885 units
Step-by-step explanation:
Volume of a cone(V) is given by:
....[1]
where,
r is the radius and h is the height of the cone.
As per the statement:
A cone with radius 5 units and ts volume is 105 cubic units
⇒r = 5 units and V = 105 cubic units
Substitute these given values and use
in [1] we have;
![105 = \frac{1}{3} \cdot 3.14 \cdot 5^2 \cdot h](https://tex.z-dn.net/?f=105%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ccdot%203.14%20%5Ccdot%205%5E2%20%5Ccdot%20h)
Multiply both sides by 3 we have;
⇒![315 = 78.5 \cdot h](https://tex.z-dn.net/?f=315%20%3D%2078.5%20%5Ccdot%20h)
Divide both sides by 78.5 we have;
![4.01273885 = h](https://tex.z-dn.net/?f=4.01273885%20%3D%20h)
or
h = 4.01273885 units
Therefore, the height of the cone is, 4.01273885 units
Answer:
option a
Step-by-step explanation:
given that at a large Midwestern college, 4 % 4% of the students are Hispanic.
A random sample of 20 students from the college is selected.
We have each student is independent of the other to be hispanic
p = success = being hispanic = 0.04 while
q = failure = being non hispanic = 0.96
X - no of hispanics is thus binomial with p = 0.04 and n =20 (sample size)
Since X is binomial
Var(x) = npq = 0.768
Std dev (x) = Square root of variance = ![\sqrt{0.768} \\=0.8764](https://tex.z-dn.net/?f=%5Csqrt%7B0.768%7D%20%5C%5C%3D0.8764)
rounded off it gives 0.88
So option a is right
Answer:
Volume of the Figure ![=825.38m^3](https://tex.z-dn.net/?f=%3D825.38m%5E3)
Step-by-step explanation:
Volume of the figure = Volume of the Upper cone+Volume of the lower cone
Volume of a cone = ![\pi *r^2*\frac{h}{3}](https://tex.z-dn.net/?f=%5Cpi%20%2Ar%5E2%2A%5Cfrac%7Bh%7D%7B3%7D)
Volume of the Upper Cone with
![radius=6m](https://tex.z-dn.net/?f=radius%3D6m)
![3.14*6*6*\frac{12}{3}](https://tex.z-dn.net/?f=3.14%2A6%2A6%2A%5Cfrac%7B12%7D%7B3%7D)
![=3.14*6*6*4\\\\=3.14*36*4\\\\=3.14*144\\\\=147.14m^3](https://tex.z-dn.net/?f=%3D3.14%2A6%2A6%2A4%5C%5C%5C%5C%3D3.14%2A36%2A4%5C%5C%5C%5C%3D3.14%2A144%5C%5C%5C%5C%3D147.14m%5E3)
Volume of the Lower cone with
and ![height=18m](https://tex.z-dn.net/?f=height%3D18m)
![=3.14*6*6*\frac{18}{3} \\\\=3.14*6*6*6\\\\=3.14*36*6\\\\=3.14*216\\\\=678.24m^3](https://tex.z-dn.net/?f=%3D3.14%2A6%2A6%2A%5Cfrac%7B18%7D%7B3%7D%20%5C%5C%5C%5C%3D3.14%2A6%2A6%2A6%5C%5C%5C%5C%3D3.14%2A36%2A6%5C%5C%5C%5C%3D3.14%2A216%5C%5C%5C%5C%3D678.24m%5E3)
Volume of the Whole Figure = ![147.14+678.24](https://tex.z-dn.net/?f=147.14%2B678.24)
Volume of the Figure ![=825.38m^3](https://tex.z-dn.net/?f=%3D825.38m%5E3)
Answer:
Around 29.67 each.
Step-by-step explanation:
The bill is being split amongst 3 people. Therefore, we must divide the total price by 3:
![\frac{89}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B89%7D%7B3%7D)
=29.66666667
=29.67
80 - 10w
w stands for how many weeks Jesus withdraws $10.
Hope this helps and have a nice day!!!