Solution :
Given


Let the initial approximation is 
So by Newton's method, we get






are identical up to eight decimal places.
The approximate real root is x ≈ 1.32471795
∴ x = 1.32471795
Answer: x= 3
Step-by-step explanation:
2x + 5 = 11
2x = 6
x = 3
The angle between the segment labled x and the chord labeled 30 is not specified. The measure of x cannot be determined, except to say that it is somewhere between 16 and the radius of the circle, √(16²+15²) = √481 ≈ 21.93.
_____
If the angle between x and the chord were marked as a right angle, one could say x=16, because all chords of the same length are the same distance from the center of the circle.
To solve this we are going to use the formula for the volume of a sphere:

where

is the radius of the sphere
Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm,

. Lets replace that in our formula:



Now, the second diameter of our sphere is 36, so its radius will be:

. Lets replace that value in our formula one more time:



To find the volume of the additional helium, we are going to subtract the volumes:
Volume of helium=

We can conclude that the volume of additional helium in the balloon is
approximately <span>
17,194 cm³.</span>