1 1/16 is it's simplest form.
Answer:
is there anyother information
Step-by-step explanation:
is there anyother information
Vertex<em> </em>is at ![\left(-3,-6\right)](https://tex.z-dn.net/?f=%5Cleft%28-3%2C-6%5Cright%29)
<em>y-intercept</em> is 3.
The parabola <em>opens up</em>.
Step-by-step explanation:
The graph of the equation is hereby attached in the answer area.
Vertex is the point on the parabola where the graph crosses its axis of symmetry. The axis of symmetry here(
), is shown with the dotted line in the graph attached.
<em>y-intercept </em>is defined as the value of y where the graph crosses the y-axis. In other words, when
. Putting
And, the graph opens up as shown the graph figure as well. It is also evident from the co-efficient of
in the given equation
. Here, co-efficient of
So, vertex<em> </em>is at ![\left(-3,-6\right)](https://tex.z-dn.net/?f=%5Cleft%28-3%2C-6%5Cright%29)
<em>y-intercept</em> is 3.
The parabola <em>opens up</em>.
Answer:
See explanation
Step-by-step explanation:
Solution:-
- We will use the basic formulas for calculating the volumes of two solid bodies.
- The volume of a cylinder ( V_l ) is represented by:
![V_c = \pi *r^2*h](https://tex.z-dn.net/?f=V_c%20%3D%20%5Cpi%20%2Ar%5E2%2Ah)
- Similarly, the volume of cone ( V_c ) is represented by:
![V_c = \frac{1}{3}*\pi *r^2 * h](https://tex.z-dn.net/?f=V_c%20%3D%20%5Cfrac%7B1%7D%7B3%7D%2A%5Cpi%20%2Ar%5E2%20%2A%20h)
Where,
r : The radius of cylinder / radius of circular base of the cone
h : The height of the cylinder / cone
- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.
- We will represent a proportionality of Volume ( V ) with respect to ( r ):
![V = C*r^2](https://tex.z-dn.net/?f=V%20%3D%20C%2Ar%5E2)
Where,
C: The constant of proportionality
- Hence the proportional relation is expressed as:
V∝ r^2
- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:
![V = C*(a*r)^2\\\\V = C*a^2*r^2](https://tex.z-dn.net/?f=V%20%3D%20C%2A%28a%2Ar%29%5E2%5C%5C%5C%5CV%20%3D%20C%2Aa%5E2%2Ar%5E2)
- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).
- Hence, the relations for each of the two bodies becomes:
![V = (\frac{1}{3} \pi *r^2*h)*a^2](https://tex.z-dn.net/?f=V%20%3D%20%28%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%2Ar%5E2%2Ah%29%2Aa%5E2)
&
![V = ( \pi *r^2*h)*a^2](https://tex.z-dn.net/?f=V%20%3D%20%28%20%5Cpi%20%2Ar%5E2%2Ah%29%2Aa%5E2)