Question

A funnel with a height of 3.67 inches is shown below.The funnel has a diameter of 1.87 inches that includes a wall that is 0.125 inches thick. What is the maximum volume of the funnel rounded to the nearest hundredth?

Answer 1

K

Answer 2

I am trying to figure what the diameter is

Answer 3

I first though about subtracting .125 from 1.87

Answer 4

that gives us 1.745

Answer 5

Um, the diameter is given to you...

Answer 6

includes a wall that is 0.125 inches thick

Answer 7

What do I do with the wall thing?

Answer 8

Is it meant for confusion?

Answer 9

That's a bit of reasoning that I'm just gonna guess a little bit on. You remmeber the formulas for surface area and volume of a cone?

Answer 10

yeah

Answer 11

so wait

Answer 12

Well, rather lateral area.

Answer 13

Find the volume and lateral area and then post it here.

Answer 14

If I found the volume, the area would be approximately 3.36

Answer 15

Here are the answer choices

Answer 16

2.52 in3

2.22 in3

7.57 in3

3.36 in3

Answer 17

If I have to add lateral area, it is definitely going to be 7.57

Answer 18

What's the volume of the figure without the thickness?

Answer 19

Lateral area is aprroximately 21.56 :(

Answer 20

Without thickness

Answer 21

approximately 2.93

Answer 22

Which is not an answer choice

Answer 23

you there?

Answer 24

Well, I'm a bit stumped

Answer 25

well

Answer 26

is it 3.36?

Answer 27

what say you smod?

Answer 28

hmm

Answer 29

Well, what is the maximum volume of the cone?

Answer 30

Wouldn't it be 3.36?

Answer 31

Or does the wall restrict it?

Answer 32

what say you, goforit?

Answer 33

if the wall did restrict the volume from being 3.36, the answer would be 2.92 :/

Answer 34

http://www.youtube.com/watch?v=l_KW_pRkEzg

Answer 35

V = 3.35 - 1.4376 = 1.9124

Answer 36

Which is not an answer...

Answer 37

hmmm

Answer 38

ehh

Answer 39

Its the wall that bugs me

Answer 40

But if we did not include the wall, the answer would be 3.36

Answer 41

and the video does not include the thickness of a wall...

Answer 42

thats whats puzzling us

Answer 43

it's multiple choice right?

Answer 44

yep

Answer 45

1.069468583π - 0.442632721π = 1.96926
Darn it... Still no correct answer...

Answer 46

2.52 in3

2.22 in3

7.57 in3

3.36 in3

Answer 47

to the nearest hundereth also right?

Answer 48

You sure you wrote down the radius and height correctly? You sure it didn't say radius or slant height?

Answer 49

I mean diameter.

Answer 50

The funnel has a diameter of 1.87 inches that includes a wall that is 0.125 inches thick. What is the maximum volume of the funnel rounded to the nearest hundredth?

Answer 51

A funnel with a height of 3.67 inches is shown below.

Answer 52

A funnel with a height of 3.67 inches is shown below.

Answer 53

the wall kind of makes this weird

Answer 54

I know

Answer 55

Does the wall matter?

Answer 56

We need KingGeorge or Phi for this

Answer 57

with the wall you said 2.29 or something correct?

Answer 58

k, Moha is going to help us

Answer 59

nope, 2.92

Answer 60

moha

Answer 61

can you help us out with this problem

Answer 62

moha?

Answer 63

even if the answer was 2.92 the closest to that is 2.52 and that doesn't really seem as correct I mean 3.36 is probably more obvious although it still begs the question, is the wall important

Answer 64

Hold on. I might have just figured it out. :)

Answer 65

k, but lets see what Moha thinks

Answer 66

V = 2.52153

Answer 67

Moha is thinking, guys

Answer 68

how did you find out about 2.52?

Answer 69

Look. The purpose of the wall is to lower the radius.

Answer 70

I knew that

Answer 71

So the radius is 0.81

Answer 72

but I lowered the diameter instead...

Answer 73

Lower the diameter twice

Answer 74

The diameter goes through the wall twice remember?

Answer 75

I just divided the diameter by 2 and lowered the radius by .125

Answer 76

That gave the same answer

Answer 77

Yes.

Answer 78

2.52153337

Answer 79

There we go :)

Answer 80

Boy, that was a doozy.

Answer 81

for sure

Answer 82

it was interesting

Answer 83

The answer was right under our noses

Answer 84

You deserve a medal :D!!!!!!!!!!!!!!!!!!

Answer 85

lol. Yup. I was having a brief brain fart lol

Answer 86

same

Answer 87

look guys i think somthing wrong with the queation

Answer 88

what?

Answer 89

you sure?

Answer 90

what say you smod?

Answer 91

Our last resort is DA Panic!!!!!!!!!!!!!!!!!!!!!!!

Answer 92

When you actually think about it @moha_10 it works because imagine the cone with the radius restriction. It gives you an area without the wall inside.