Question

What is the value of x, if the volume of the cone is 12pim^3? A.4m B.5m C.6m D.10m How would I go about doing this?

Answer 1

do you know formula of volume for a cone ?

Answer 2

Yes it's V=1/3pi*r^2*h

Answer 3

yes right where h mean the x - yes ?

Answer 4

right. I think so 5 wouldn't be the h?

Answer 5

So x =h

Answer 6

yes but you can calculi it from this right triangle what formed by radius-the height and this edge with length 5 - ok ?

Answer 7

okay

Answer 8

so how many will get in this way ?

Answer 9

I'm a bit confused what are you asking?

Answer 10

using there pythagoras theorem in this right triangle with height - radius - edge with 5m so how you can rewrite it ?

Answer 11

Well for pythagorn theorem wouldn't it be a2+b2=c2 so 3^2+b2=5^2? is that kind of what you mean

Answer 12

yes sure right - so how many will be from there b ?

Answer 13

Okay so I did 3^2+b^2=5^2 I got 9+b^2=25
I then took -9 from each side and got b2 and 16 then took sqrt root and got 4

Answer 14

b=4?

Answer 15

yes bc 25-9 =16 and sqrt16 = 4

so this is right sure

or do you wan calculi it from volume too ?

Answer 16

The question wants the value of x. I'm sure 4 is fine by the choices provided above. It appears to be right. Thank you so much for your help! I love to understand math.

Answer 17

ok - so this mean that you have understood it all right easy - sure - secure - yes ?

Answer 18

Well I understood it 100% with you helping guide me through it but I just want to be sure the answer is 4m. By the looks of the question do you agree it is 4m?

Answer 19

yes sure but we can calculi it from volume too

do you like it ? i will help you there too

Answer 20

We can try it and see which best fits... Let's give it a shot.

Answer 21

ok - so how many is the volume - given - ?

Answer 22

Well they tell us the given is 12pim^3?

Answer 23

exactly - is 12pi m^3 so how you have wrote above the formula of volume for a cone ?

Answer 24

I wrote V=1/3pi*r^2*h?

Answer 25

So 1/3 of 12 is also 4?

Answer 26

yes right than using this formula you can rewrite it

12 = (pir^2*h)/3 and substitute inside this again what you know - the radius for example
and calculi the h=?

Answer 27

ohhh sorry not just 12 bc. the volume given is 12pi

Answer 28

I'm confused again, Do you think overall it would come to 4 again?

Answer 29

yes bc . than you see

12pi = pir^2 *h/3 divide both sides by pi

12 = r^2 *h/3 but you know that r=3

12 = 9*h/3

12 = 3h

h=12/3

h = 4

Answer 30

Wow okay. Sorry I was just doing a bit of it wrong I understand so x=4m.

Answer 31

yes this is right on every two ways - ok ? but hope you understand now all right - yes ?

Answer 32

I haven't got much into the chapter yet just started so that is why I was having some trouble. I do understand yes thank you. I love understanding math!!!

Answer 33

THANK YOU SO MUCH

Answer 34

np

was my pleasure

anytime than i m here online

good luck

bye bye