Answer:
Volume of the frustum = ⅓πh(4R² - r²)
Step-by-step explanation:
We are to determine the volume of the frustum.
Find attached the diagram obtained from the given information.
Let height of small cone = h
height of the large cone = H
The height of a small cone is a quarter of the height of the large cone:
h = ¼×H
H = 4h
Volume of the frustum = volume of the large cone - volume of small cone
volume of the large cone = ⅓πR²H
= ⅓πR²(4h) = 4/3 ×π×R²h
volume of small cone = ⅓πr²h
Volume of the frustum = 4/3 ×π×R²h - ⅓πr²h
Volume of the frustum = ⅓(4π×R²h - πr²h)
Volume of the frustum = ⅓πh(4R² - r²)
Answer:
3
Step-by-step explanation:
Here we have the function

We want to find the following ratio:

Note that the limit of this for
is equivalent to the derivative of the function.
Here we have:

And

Therefore we have

And therefore,

C. There is no solution.
6(x+4)=5(x-5)+x
6x+24=5x-25+x
6x+24=6x-25
24=-25
The statement is false for any value of x
∴ There is no solution.
Hope my answer helped u :)
Answer:b
Step-by-step explanation:y=2x-3
The statement is true.
P(A|B) is the probability of occurrence of event A, provided that(given that) event B has already occurred.
This is known as conditional probability. In conditional probability, the event on right side of the vertical bar (which is B in this case) is given to have already occurred (either we assume this, or some evidence is given about this) and we calculate the probability of event on left of the vertical bar (which is A in this case) based on this information. The formula of condition probability is:
P(A*B) indicates the probability of intersection of event A and B.
So the correct answer is TRUE.