In a water treatment plant, water passes through a cone-shaped filter with a height of 4 m and a diameter of 9 m. The water flows from the filter into a cylinder below it. One full cone-shaped filter fills one-fifth of the cylinder.What are the dimensions of the cylinder? Use 3.14 to approximate pi.
A.
h = 3 m; r = 3 m
B.
h = 4.23 m; r = 5 m
C.
h = 15 m; r = 6 m
D.
h = 33.75 m; r = 2 m
Answers
area of base=circle so
1/3 times pi times radius^2 times height
height=4
diameter=2radius
diameter/2=radius
9/2=4.5=radius
height=4
radius=4.5
aprox pi at 3.14
1/3 times (3.14 times 4.5^2) times 4=84.78
that's the volume of the cone
volume of cone=1/5 of cylinder
84.78=1/5cylinder
multiply both sdies by 5
423.9=volume of cylinder
volume of cylinder=height times area of base
area of base=3.14 times r^2
v=h3.14r^2
423.9=3.14hr^2
divide both sdies by 3.14
135=hr^2
sincewe are not given the specific ratio of height to radius or such to thecone to the cylinder, we must use trial and error to elimninate wrongchoices
135=hr^2
let's try A
A
135=3(3^3)
135=3(9)
135=27
false
A is wrong
B
4.23=h 5=r
135=4.23 times 5^2
135=4.23 times 25
135=105.75
false
B is wrong
C
h=15 r=6
135=15 times 6^2
135=15 times 36
135=540
false
C is wrong
D
33.75=h 2=r
135=33.75 times 2^2
135=33.75 times 4
135=135
the answer is D since it fitst the dimentions
=
=27*3.14 (the cone's v)
so multiply 5 to the v = 135*3.14 (cylinder's v)
A:3*3*3*3.14=27*3.14 X
B:5*5*4.23*3.14=105.75*3.14 X
C:6*6*15*3.14=540*3.14 X
D:2*2*33.75*3.14=135*3.14 O
Answer: is .....D
:)
Related Questions
What is the slope of a line parallel to the line -3x+5y=-10
How many times does 45 go into 280
How do I get 2 over 300 into a percent
The measure of one supplementary angle is 45 degrees more than twice the measure of the other. Write an equation to find the measure of each angle. Solve to find each angle
Answers
-7 = v/5 - 11
-7 + 11 = v/5
4 = v/5
4 × 5 = v
v = 20
The answer is: v = 20.
Answers
Example: Mixed number: 1 2/3
Improper fraction: 5/3
Answers
No, this graph is not a function because it doesn't pass the vertical line test.
Answers
The end behavior of the following function is that it starts high and ends high.
How do we make a graph of a function?
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
Suppose the considered function whose graph is function of x
Then the values of 'x' (also called input variable, or independent variable) are usually plotted on the horizontal axis, and output values function of x are plotted on the vertical axis.
We have been given a function of x as
The graph of the given function starts high and ends high.
The function touches the origin in the middle of the line.
Hence, the end behavior of the following function is that it starts high and ends high.
Learn more about graphing functions here:
#SPJ5
Answer:
The graph of the function starts high and ends high.
Step-by-step explanation:
Answers
b. Amanda takes out 50% of the nickels in the jar on Friday and adds a number of nickels that is equal to 30% of the original number of nickels in the jar on Monday. There are 20% fewer nickels in the jar after Monday than before Friday.
c. Amanda adds 50% of the original number of nickels to the jar on Friday. The number of nickels Amanda takes out on Monday is equal to 30% of the new number of nickels. There are 20% more nickels in the jar after Monday than before Friday.
d. Amanda adds 50% of the original number of nickels to the jar on Friday. The number of nickels Amanda takes out on Monday is equal to 30% of the original number of nickels. There are 20% more nickels in the jar after Monday than before Friday.