How would I solve this? Will give medal!

Question

anonymous · Answer

attachment

anonymous · Answer

Volume of Cylinder is given by :

$$Volume = \pi r^2 h$$

anonymous · Answer

And volume of cone is given by:

$$Volume _{cone} = \frac{1}{3} \pi r^2h$$

anonymous · Answer

so how would i find the volume of the cone?

anonymous · Answer

Firstly divide the two volumes..

anonymous · Answer

On dividing $\pi r^2 h$ gets cancelled and you get:

$$\frac{Vol_{cyl}}{Vol_{cone}} = 3$$

Getting??

anonymous · Answer

where did u get the volume of the cone if they only gave us the one for cylinder?

anonymous · Answer

It is formula to calculate Volume of cone..

The formula for Volume of cone is:

$$Volume_{cone} = \frac{1}{3} \pi r^2 h$$

This I am giving you, just remember it.. :)

anonymous · Answer

okay got it

anonymous · Answer

Can you find Volume of cone from here or still in trouble??

anonymous · Answer

how would i get the radius?

anonymous · Answer

There is no need to find the radius and height..

anonymous · Answer

See, look at the figure, and tell me, the radius and height for both cone and cylinder is same or not??

anonymous · Answer

*are

anonymous · Answer

still not getting it, sorry :/ dont i need to plug in numbers though?

anonymous · Answer

|dw:1389351510762:dw|

anonymous · Answer

Forget about the numbers..

Suppose that your question is :

What is the relation between volume of cylinder and volume of cone?

Okay?? Let us solve this, your original question will be automatically solved.. :)

anonymous · Answer

would the answer be 47?

anonymous · Answer

Wow..!! How you did that??

anonymous · Answer

i completely missed that i needed to divide by 3, sorry

anonymous · Answer

Basically the question in actual is what I have given you now to suppose, that should be the actual question..

Don't go into finding radius and height, they will get cancelled when you divide the two volumes to find relation between them..

anonymous · Answer

Alright got it! Thank you for helping me!

anonymous · Answer

Now, in your notebook, you can also note down and remember this:

$$\color{green}{\textsf{Volume of Cylinder = 3 }} \color{green}{\times} \color{green}{\textsf{Volume of Cone}}$$

anonymous · Answer

You are welcome dear.. :)

anonymous · Answer

I'll make a note of it, thank you so much!! :-)