The cross-sectional area parallel to the bases of the two figures above is the same at every level. Find the volume of the cone, to the nearest tenth.

- redheadangel

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- redheadangel

##### 1 Attachment

- redheadangel

I have no idea where to even start

- redheadangel

@Peaches15 @LexiLuvv2431

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## More answers

- redheadangel

@campbell_st

- redheadangel

@welshfella

- anonymous

I suckkk at math. I can't really help you here :/ sorry

- redheadangel

that's okay thanks tho :) @LexiLuvv2431

- anonymous

@redheadangel I don't know dis kin of math sorry

- redheadangel

That's okay thanks @Peaches15

- redheadangel

@Kitten_is_back

- redheadangel

@Hero ppppplleasssee I will fan and medal I promise

- itsmichelle29

Volume cone v =1/3 pi r^2 * h

- itsmichelle29

Volume Triangular pyramid v=1/3 b*h

- redheadangel

Yes, I am just confused on how to find all of the measurments for the cone

- redheadangel

@Owlcoffee p.l.e.a.s.e and t.h.a.n.k y.o.u

- redheadangel

@DanJS g.r.a.c.i.a.s

- Owlcoffee

Okay, this is a little tricky one, but I think I have fully understood it.
On the left side we have a pyramid that has a triangular base and on the right side, a cone which has a circular base.
Both heights are the same, and we are given some information about the base of the pyramid, you can view it as a triangle which you'll have to find the missing side:
|dw:1438983224810:dw|
So, try finding the area of that triangle and that'd be the first step on getting it solved.
Because we know, as given information, that the area of the base on the pyramid is the same as the area of the base on the cone.

- redheadangel

so for the missing side I got 3.6

- redheadangel

I got that the area 8.64... is that right?

- redheadangel

@Owlcoffee

- redheadangel

@geerky42 perhaps you could help?

- geerky42

If cross-sectional areas are same for every level, this means they both have same height and same volume, right?

- redheadangel

yes

- geerky42

So you just need to find volume of triangle pyramid.

- redheadangel

ooohhh I see

- geerky42

So can you handle it from here?

- redheadangel

Yes thank you so much I got 44.16 as the area

- redheadangel

would you mind helping me with one more?

- geerky42

you need volume; formula is \(V=\dfrac{1}{3}Bh\) B is area of base

- redheadangel

oh my gosh you're right idk what i was thinking lol

- redheadangel

Yes I meant to say that, the volume is 44.16, just typed the wrong thing

- geerky42

well, I got 26.496 cm\(^3\)

- geerky42

did you multiply 4.8 by 6? because you shouldnt

- redheadangel

honestly I typed it into one of those volume calculators and thats what it came up with

- redheadangel

but your answer is one of the answer choices, so maybe mine was wrong

- geerky42

for area of triangle, you need base and height. 4.8 can be height, so you need to find length of base.
You can use Pythagorean theorem here.

- geerky42

|dw:1438984981177:dw|

- redheadangel

I got 3.6 as the missing side

- geerky42

same here

- geerky42

you should get my answer from here

- redheadangel

so I got 8.64 as the area for the triangle/base

- geerky42

yep

- redheadangel

oh you're right! I got your answer, thanks soooo much.

- geerky42

np, you need help with one more?

- redheadangel

Yes please :)

- redheadangel

1) Given
2) Definition of bisector
3) Transitive property of congruence
4) Definition of a right triangle
5) HL theorem
B.
1) Given
2) Given
3) Transitive property of congruence
4) Definition of a right triangle
4) HL theorem
C.
1) Given
2) Definition of bisector
3) Reflexive property of congruence
4) Definition of a right triangle
5) HL theorem
D.

##### 2 Attachments

- redheadangel

ugh for some reason the attachment for the chart isn't showing

- geerky42

Can you take screenshot?

- redheadangel

oh yeah! one sec

- redheadangel

##### 1 Attachment

- redheadangel

I was thinking A, but it's really confusing and a lot to take in lol

- geerky42

what is D? or at least number 2 in D

- redheadangel

D says not enough information.

- redheadangel

I pretty much ruled that option out

- geerky42

give me time, it has been a while lol

- geerky42

I believe it's C. number 3 is basically "if a=b and b=c, then a=c"

- redheadangel

np

- geerky42

C seems reasonable here.

- geerky42

wait I am wrong hold on

- geerky42

oh i am looking at A. so yeah I would go with A.

- redheadangel

Okay thank you!

- geerky42

No problem

- redheadangel

you have been so very helpful so please don't be mad when I say I have a very short problem that requires very little thinking for someone as smart as you....
What is the relationship between theoretical probability and experimental probability (think in terms of flipping a coin)?
A.
The theoretical probability is always greater than the experimental probability.
B.
As the number of trials increase, the experimental probability gets closer to the theoretical probability.
C.
They are always very close to each other.
D.
The theoretical probability is always less than the experimental probability

- redheadangel

I understand if you have other matters to atttend to

- geerky42

What do you think?
Basically:
theoretical probability is what you expect to happen
experimental probability is what it actually happened.
Saying you have to flip coin. 50% is theoretical probability.
For first trial, you get head, so you have 100% head and 0% tail. this is experimental probability

- geerky42

do 3 trials, you get 2 heads and 1 tails. so you have about 66% change to get head in experimental probability. that makes sense?

- redheadangel

then.... I would say B

- geerky42

Yeah I would go with B.

- redheadangel

Thanks again!!!

- geerky42

no problem lol

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