Answer:
V = nl^2h or V = nw^2h
Step-by-step explanation:
The computation of the volume of the solid is given below:
Here the volume of the sold would be considered as the volume of 1 prism i.e. rectangular times n
Now as we know that
The volume of a rectangular prism is V is
lwh.
As L = w
Here cross section would become a square
So
V = l^2h
So,
The volume of the resulting solid would be
V = nl^2h or V = nw^2h
Volume of a cylinder = cross sectional area * height
so...
height = 3m
cross sectional area = pi × radius^2
radius = 1/2 diameter
radius = 1/2 × 6 = 3
3.14 × 3^2
= 3.14 × 9
= 28.26
therefore...
volume of cylinder = 28.26 × 3
= 84.78 m^3
Given a radius
, the volume of a sphere is given by
![V=\dfrac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
We can solve this formula for the radius, given the volume:
![r=\sqrt[3]{\dfrac{3V}{4\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3V%7D%7B4%5Cpi%7D%7D)
We can plug our value for the volume to get the radius:
![r=\sqrt[3]{\dfrac{3\cdot 12\pi}{4\pi}}=\sqrt[3]{9}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3%5Ccdot%2012%5Cpi%7D%7B4%5Cpi%7D%7D%3D%5Csqrt%5B3%5D%7B9%7D)
The answer is they all have a factor of 9
Answer:
The first one, the third one, and the fourth one.
Step-by-step explanation:
i just put the ones that are correct. If you want me to write out why the incorrect ones are incorrect, let me know.
1.
-6=3x
-6= 3(-2)
-6= -6
3. -8= x+x+x+x
-8= -2+-2+-2+-2
-8= -8
4. x/2= (-1)
-2/2 =(-1)
-1= -1