Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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

Sagot :

anotsomuchofascholar
[tex] \frac{9/2*9/2*4* \pi }{3} [/tex]
= [tex] \frac{81*3.14 }{3} [/tex]
=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
:)
apologiabiology
so volume of a cone=1/3 times (area of base) times height

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
since we are not given the specific ratio of height to radius or such to the cone to the cylinder, we must use trial and error to elimninate wrong choices


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
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.