Answer:
The new volume will be 3 3/8 or maybe 27/8 of its original volume.
Step-by-step explanation:
Cone Volume = PI * radius^2 * height / 3
So if radius = 1 and height = 1 then volume = 1.0472
When radius = 3 and height = .375 then volume = 3.5343
Volume increases by 3.5343 / 1.0472 = 3 and 3/8
Answer:


Step-by-step explanation:
Given


Required
Determine the values of x and RTV
Since, TV is a bisector, then
--- (1)
and
-- (2)
Substitute values of RTV and VTS in (2)

Collect Like Terms


Solve for x

Substitute 5 for x in 



The general equation of a circle is

where a and b are the x and y components of the center respectively.
In order to get into this format, we have to use a method that I'm drawing a blank on the same, my apologies about that.
Anyway, what you want is to first isolate the variable on side so now you have:

(you'll see why I rearranged this soon)
Now you have to make it into an equation that can be simplified into the format stated earlier.
So, You have to take the x & y terms (-4x & -8y in this case) divide them each by two, and then square them.
The result of this step is the equation:
Notice the new components that have been added (4 & 16) and how the have been
added to both sides. That is an important step.
Now we simplify and get:

So the coordinate of the center is: (2,4) and the radius is 5
(3) is the base of the new equation
(x + 5) is the answer of the new equation
(2) is the exponent on base (3)
;The new equation after simplifying is...,
; 3^2 = x + 5
; 9 = x + 5
; x = 9 - 5
;Hence...x = 4