Answer:
C. V = two-thirds (27)
Step-by-step explanation:
Given
Solid Shapes: Cylinder and Sphere
Volume of Cylinder = 27π ft³
Required
Volume of the sphere.
From the question,
<u>We have that</u>
1. The volume of the sphere is the same as the volume of the cylinder
2. The height of the sphere is the same as the height of the cylinder.
From (2) above;
This means that the height of the cylinder equals the diameter of the sphere.
Let h represent the height of the sphere and d represent the diameter of sphere.
Mathematical, d = h
Recall that radius, r = 
Substitute h for d in the above expression
. ----- (take note of this)
Calculating the volume of a cylinder.
V = πr²h
Recall that V = 27; This gives us
27 = πr²h
Divide both sides by h
-------------------
Calculating the volume of a sphere
Expand the above expression
Substitute
Recall that
So,
V = two-third (27)
Answer:
Thus, the two root of the given quadratic equation 
is 5.24 and 0.76 .
Step-by-step explanation:
Consider, the given Quadratic equation,
This can be written as , 
We have to solve using quadratic formula,
For a given quadratic equation 
we can find roots using,
...........(1)
Where, 
is the discriminant.
Here, a = 1 , b = -6 , c = 4
Substitute in (1) , we get,
and 
We know 
(approx)
Substitute, we get,
(approx) and 
(approx)
(approx) and 
(approx)
Thus, the two root of the given quadratic equation is 5.24 and 0.76 .
Answer:
2
Step-by-step explanation:
1 unit by 2 unit means area.
So, know that in area you multiply length times width, you multiply 2 and 1.
·
Which is 2
Answer:
We know that our world is in 3 dimensions i.e. there are three directions and so, three co-ordinates are required.
Now, if we have to find a position of an object lying on a flat surface, this means that there are only two directions and so, two co-ordinates are needed.
So, we can define the domain ( xy-axis ) in such a way that there are two axis - horizontal where right area have positive values & left area has negative values and vertical where upward side have positive values & downward side has negative values.
For e.g. if we want to find the position of a pen on the table. We will make our own xy-axis and see in which quadrant the pen lies.
Let us say that the pen lies at (2,3), this means that the position of pen is in the first quadrant or it is 2 units to the right of y-axis and 3 units up to the x-axis.
This way we can see that two directions are sufficient to find the position of an object placed on a flat surface.
The answer is B: (-1/4, 1/2)
