Question

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.

Answer 1

I have no idea where to even start

Answer 2

@Peaches15 @LexiLuvv2431

Answer 3

@campbell_st

Answer 4

@welshfella

Answer 5

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

Answer 6

that's okay thanks tho :) @LexiLuvv2431

Answer 7

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

Answer 8

That's okay thanks @Peaches15

Answer 9

@Kitten_is_back

Answer 10

@Hero ppppplleasssee I will fan and medal I promise

Answer 11

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

Answer 12

Volume Triangular pyramid v=1/3 b*h

Answer 13

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

Answer 14

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

Answer 15

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

Answer 16

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:

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.

Answer 17

so for the missing side I got 3.6

Answer 18

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

Answer 19

@Owlcoffee

Answer 20

@geerky42 perhaps you could help?

Answer 21

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

Answer 22

yes

Answer 23

So you just need to find volume of triangle pyramid.

Answer 24

ooohhh I see

Answer 25

So can you handle it from here?

Answer 26

Yes thank you so much I got 44.16 as the area

Answer 27

would you mind helping me with one more?

Answer 28

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

Answer 29

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

Answer 30

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

Answer 31

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

Answer 32

did you multiply 4.8 by 6? because you shouldnt

Answer 33

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

Answer 34

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

Answer 35

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.