Answer:
The volume of the sphere is eight times the volume of hemisphere
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x-----> volume of the hemisphere
y-----> volume of the sphere
![z^{3}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B3%7D%3D%5Cfrac%7Bx%7D%7By%7D)
in this problem we have
![z=\frac{1}{2}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B1%7D%7B2%7D)
substitute
![(\frac{1}{2})^{3}=\frac{x}{y}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B3%7D%3D%5Cfrac%7Bx%7D%7By%7D)
![(\frac{1}{8})=\frac{x}{y}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B8%7D%29%3D%5Cfrac%7Bx%7D%7By%7D)
![y=8x](https://tex.z-dn.net/?f=y%3D8x)
that means------> The volume of the sphere is eight times the volume of hemisphere
Since the president and the vice president must be seated in the front, that's two ways already; p-vp, vp-p.
Three other member, let's say their names are Bill, Joe, and Nate.
b-j-n, j-b-n, n-b-j, b-n-j, j-n-b, n-j-b.
6 different combinations.
Multiply 6 by 2,
6 x 2 = 12.
There are 12 different ways.
Answer:
Yes it is
Step-by-step explanation:
y = -x + 6
y = -3x - 4
(-5,11)
x = -5
y = 11
y = -x + 6
(11) = -(-5) + 6
11 = 5 + 6
11 = 11
y = -3x - 4
(11) = -3(-5) - 4
11 = 15 - 4
11 = 11