The volume of a cylinder is 24 cubic feet. What is the volume of a cone that fits exactly inside the cylinder? Provide an explanation and proof for your answer to receive full credit.
Please help.

- anonymous

- katieb

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- anonymous

8

- Jack1

Volume of a cylinder = Area of the Base x the Length

- anonymous

|dw:1435740773300:dw|

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## More answers

- Jack1

Volume of a cone = 1/3 x Area of the Base x height

- anonymous

ok!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
answerrrrrrrrrrr::::::::::::::8

- Jack1

height = length
so if u make the Bases the same area, then Volume of a Cone = 1/3 Volume of the Cylinder

- Jack1

so seeing as you Cylinder has a volume of 24... what do you think the answer is for Volume of the Cone @nessababy12 ?

- anonymous

|dw:1435740994390:dw|

- Jack1

that's a very pretty picture @aaron.bahrami , good drawing skills man

- anonymous

|dw:1435741021804:dw|

- anonymous

tanxxx !!!!
my name is aaron

- Jack1

np ;)

- anonymous

jack how old are u?????

- anonymous

im 17

- anonymous

not my pic

- Jack1

;P

- anonymous

haaha!!

- anonymous

where r u from??/

- anonymous

- anonymous

no thats >>>>>>>>>..
name is aaron

- anonymous

i have 3 gold medal of olampyad of math(universal medal)

- anonymous

m

- anonymous

wht????/

- wolf1728

Cylinder volume = PI * height * radius^2
24 = PI*4*1.382*1.382
Cone Volume = (PI * height * radius^2) / 3
I was just wondering IF cylinder volume were the same with DIFFERENT height and radius if cone volume would be different but according to the formulas, cone volume is always one third cylinder volume.

- Jack1

q doesnt really say Max Volume either... just must fit "exactly inside"... something of smaller that 1/3 volume fits exactly inside, or if u put one in sideways, etc ;)

- wolf1728

So, with height = 4 and r = 1.382
volume = 24 (for cylinder) and 8 (for cone)
with height = 6 and r = 1.1284
volume = 24 (for cylinder) and 8 (for cone)
So, everything is juat the way you folks figured.

- wolf1728

(I just wanted to make sure).

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