Find the volume to the nearest tenth.

Question

thesmartone · Answer

Figure....?

mle · Answer

@Janu16
of what?

janu16 · Answer

This

thesmartone · Answer

If you do not give us all the necessary information, you can not get help.

thesmartone · Answer

Do you know how to find the volume of a cone>

janu16 · Answer

@TheSmartOne i posted the pic

janu16 · Answer

PiR^2?

thesmartone · Answer

Sorry, it seems like you're on the OpenStudy app and it shows you as offline :P

janu16 · Answer

Ya lol

mle · Answer

Volume of Cone = (1/3)*(area of base)*(height)

thesmartone · Answer

Anyways, the formula to find the volume of a cone is:

$\sf\Large V = \pi r^2\frac{h}{3}$

mle · Answer

(area of base) = (area of circle) = pi*(radius)*(radius)

thesmartone · Answer

Ok, so they gave you the height which is 24

janu16 · Answer

@TheSmartOne what is the radius?

thesmartone · Answer

But they gave us the angles and we need to calculate the radius first

thesmartone · Answer

Do you know the ratio of the sides for a 30-60-90 triangle?

janu16 · Answer

Ya a little

mle · Answer

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mle · Answer

x sqrt(3) = 24

solve for x

thesmartone · Answer

and then x is your radius

and then just plug it in to your formula :)

mle · Answer

might want to rationalize the denominator

janu16 · Answer

Bit how do you do 30 60 90

mle · Answer

...?

janu16 · Answer

How do you find the radius @mLe

mle · Answer

(radius) * sqrt(3) = 24

mle · Answer

OH RIGHT
you can't see the drawing I drew because you're on the app
*forgot sorry*

janu16 · Answer

But i dont know the radius !!

mle · Answer

but yea,

RADIUS = 24 divided by the square root of 3 !

janu16 · Answer

So the radius is 13?

mle · Answer

you probably should not round yet

janu16 · Answer

I got 13.8 so whats next

mle · Answer

radius = 13.8
height = 24

Volume = (1/3)*(radius)*(radius)*(pi)*(height)

janu16 · Answer

I got 4786 and thats no the answer choice

mle · Answer

what are your choices?

janu16 · Answer

@mLe

janu16 · Answer

You havent used 60 which is shown on the picture i think you have to use that

thesmartone · Answer

60 is the angle of the triangle which we needed to use to get the radius

mle · Answer

I did use that
that's how I got the ratio of x sqrt(3) = 24

thesmartone · Answer

Can you post your answer choices? That way we can see where we are messing up on? maybe they want the exact value?

thesmartone · Answer

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