Answer:
V = 19.19 cubic units
None of the options are correct.
Step-by-step explanation:
Volume of a cone is given as;
V = ⅓πr²h
Now, we are given;
diameter = 4 units
Thus radius;r = diameter/2 = 4/2 = 2 units
I have attached an image to show the diagram of the cone.
Now, to find the height (h), we know the radius(r) and we know the slant length(l) . So we can use Pythagoras theorem to find the height.
From Pythagoras theorem;
r² + h² = l²
Where l is the hypotenuse or the slant side while "r" is the radius of the cone while the height will be "h"
Thus;
2² + h² = 5²
h² = 5² - 2²
h² = 25 - 4
h² = 21
h = √21
h = 4.5826 units
So height (h) = 4.5826 units
Volume of cone;V = ⅓πr²h
We are told that π = 3.14
Thus;
V = ⅓ x 3.14 x 2² x 4.5826
V = 19.19 cubic units
For a relation to be a function every x value will have a single y value.
The first one has two x values of -2 but their y values are different so can’t be a function.
The second one has two 10’s with different y values so isn’t a function.
The 3rd one has 1 and -1 with the same y value, so isn’t a function.
The correct answer is the 4th choice
Answer:
4250
Step-by-step explanation:
0.13 = 13%
1000×0.13=130
130×25= 3250 + 1000 = 4250
What I did:
You have to turn the percent to a decimal first
Then multiply the decimal by the first investment amount (1000)
then multiply that by the years that you have before retirement
You add that amount plus the 1000 you have started with