Check the picture below.
since the diameter of the cone is 6", then its radius is half that or 3", so getting the volume of only the cone, not the top.
1)
![\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \implies V\approx 37.7](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20cone%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7B%5Cpi%20r%5E2%20h%7D%7B3%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D3%5C%5C%20h%3D4%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B%5Cpi%20%283%29%5E2%284%29%7D%7B3%7D%5Cimplies%20V%3D12%5Cpi%20%5Cimplies%20V%5Capprox%2037.7)
2)
now, the top of it, as you notice in the picture, is a semicircle, whose radius is the same as the cone's, 3.
![\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=3 \end{cases}\implies V=\cfrac{4\pi (3)^3}{3}\implies V=36\pi \\\\\\ \stackrel{\textit{half of that for a semisphere}}{V=18\pi }\implies V\approx 56.55](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20sphere%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D3%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B4%5Cpi%20%283%29%5E3%7D%7B3%7D%5Cimplies%20V%3D36%5Cpi%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bhalf%20of%20that%20for%20a%20semisphere%7D%7D%7BV%3D18%5Cpi%20%7D%5Cimplies%20V%5Capprox%2056.55)
3)
well, you'll be serving the cone and top combined, 12π + 18π = 30π or about 94.25 in³.
4)
pretty much the same thing, we get the volume of the cone and its top, add them up.
Answer:
I want to say 50 cars
Step-by-step explanation:
If i am correct, there are more cars than people overall:
tenants to cars
3:5
so when you have 30 tenants you can multiply the cars by ten because that is what you did on the other side.
Answer:
x is equal to 16
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply by 1
Subtract 7 from both sides of the equation
Simplify it
Subtract 3
from both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Simplify
Subtract 2 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify!
That's it!
Answer:
13.1
Step-by-step explanation:
Finding mean in data set is finding the average. The way to find the average is by adding all the data in the set (the # of movies watched), then divide them by how many numbers are in the data set (7).
16+13+19+16+8+10+10=92
After you add the data in the set, you have to divide it by the pieces of data there is.
So 92/7=
13.1428571
<u />
If you round 13.142...to the nearest tenth, you get <u>13.1.</u>
Answer:
Both brothers will have the same amount of money is their saving accounts after six months.
Step-by-step explanation:
I worked this out by finding out the first 8 months of savings for both brothers:
Patrick: His brother:
200 150
225 185
250 220
275 253
300 290
325 325
375 360
400 395
I then looked across my results to see that at 6 months both brothers had $325.
Hope this helped.
