Can someone help me out on a question? :)

Question

chunkymonkay · Answer

attachment

mathstudent55 · Answer

Do you know the formulas for the volumes of a cylinder and a cone?

sky_guy02 · Answer

watz your qeustion?

chunkymonkay · Answer

yes it is 1/3 pi x r^2 x h

sky_guy02 · Answer

o wait i just saw the attach ment sorry i dont knwo how to help with this one :/

mathstudent55 · Answer

That is for a cone.
How about for a cylinder?

chunkymonkay · Answer

its okay sky im sure someone else can help :)

mathstudent55 · Answer

$\Large V_{cylinder} = \pi r^2 h$

$\Large V_{cone} = \dfrac{1}{3} \pi r^2 h$

mathstudent55 · Answer

You know the radius and the height of the cone.
Use the formula for the volume of a cone, and find the volume of the cone feeder.

anonymous · Answer

3in

mathstudent55 · Answer

@Chunkymonkay 
Are you able to find the volume of the cone feeder?
Use the formula for the volume of a cone with radius = 3 in. and height = 25 in.

anonymous · Answer

attachment

anonymous · Answer

that is how the problem is done.

anonymous · Answer

look at the pic and tell me if you understand it

chunkymonkay · Answer

i am so sorry my computer is running slow. i think the volume of a cylinder is v=pi r^2h

chunkymonkay · Answer

yes @arjund12 i understand a little bit

mathstudent55 · Answer

Let's find the volume of the feeder.
It is a cone, wight height = 25 in. and radius = 3 in.

$V_{cone} = \dfrac{1}{3} \times 3.14 \times (3~in.)^2 \times 25~in.$ 

$V_{cone} = 235.5~in.^3$

mathstudent55 · Answer

Now we need to find the height of a cylinder with the same volume as the cone and a radius of 5 in.

chunkymonkay · Answer

yes and do we didvide by 3? to find the height of a cylinder

anonymous · Answer

just look at my pic its explicitly explained there.

mathstudent55 · Answer

$V_{cylinder} = 3.14 \times (5~in.)^2 \times h$

We know the volume of the cylinder is also 235.5 in^3, so we can write:

$3.14 \times (5~in.)^2 \times h = 235.5~in.^3$

Now we need to solve for h, the height of the cylinder.

mathstudent55 · Answer

$3.14 \times 25~in.^2 \times h = 235.5~in.^3$

$78.5 ~in^2 h = 235.5 ~in.^3$

$h = \dfrac{235.5~in.^3}{78.5~in.^2} $

$h = 3~in.$

mathstudent55 · Answer

The height of the cylinder is 3 in.

chunkymonkay · Answer

okay thanks everyone

anonymous · Answer

i dont get a medal ? for helping you hahaha

mathstudent55 · Answer

You're welcome.

anonymous · Answer

No problem any time, if you have any more problems i can help you with feel to ask. If you need one-to-one help you can always email at mathutor101@gmail.com