Answer:
<h2>A cone: B. V = 100.48 cubic units</h2><h2>A cylinder: C. V = 301.44 cubic units</h2>
Step-by-step explanation:
The formula of a volume of a cone:
![V=\dfrac{1}{3}\pi r^2H](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2H)
<em>r</em> - radius
<em>H</em> - height
We have <em>r = 4 u</em> and <em>H = 6 u</em>. Substitute:
![V=\dfrac{1}{3}\pi(4^2)(6)=\dfrac{1}{3}\pi(16)(6)=\dfrac{1}{3}\pi(96)=32\pi\ u^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%284%5E2%29%286%29%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%2816%29%286%29%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%2896%29%3D32%5Cpi%5C%20u%5E3)
![\pi\approx3.14\to V\approx(32)(3.14)=100.48\ u^3](https://tex.z-dn.net/?f=%5Cpi%5Capprox3.14%5Cto%20V%5Capprox%2832%29%283.14%29%3D100.48%5C%20u%5E3)
If the cylinder has the same radius and height as a cone, then the volume of the cylinder is three times larger than the volume of the cone.
Therefore, the volume of acylinder:
![V\approx3(100.48)=301.44\ u^3](https://tex.z-dn.net/?f=V%5Capprox3%28100.48%29%3D301.44%5C%20u%5E3)
Why?
The formula of a volume of a cone:
![V_{cone}=\dfrac{1}{3}\pi r^2H](https://tex.z-dn.net/?f=V_%7Bcone%7D%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2H)
The formula of a volume of a cylinder:
![V_{cylinder}=\pi r^2H](https://tex.z-dn.net/?f=V_%7Bcylinder%7D%3D%5Cpi%20r%5E2H)
Therefore
![V_{cone}=\dfrac{1}{3}V_{cylinder}\to V_{cylinder}=3V_{cone}](https://tex.z-dn.net/?f=V_%7Bcone%7D%3D%5Cdfrac%7B1%7D%7B3%7DV_%7Bcylinder%7D%5Cto%20V_%7Bcylinder%7D%3D3V_%7Bcone%7D)
If the radius and height are the same.
Answer:
77/30
Step-by-step explanation:
7/10 x 11/3 = 7x11 = 77 and 10x3 = 30
the answer is 77/30
Answer:
16
Step-by-step explanation:
The run is the amount in the x direction
-8 to 8 = 16 units
(8- - 8) = 8+8 = 16
The run is 16
Answer:
-18x^2+39x+7
Step-by-step explanation:
Answer:
B = 1/2 h(b1+b2)
Step-by-step explanation:
Hope this helped :( ?