Cianciolo wrote:I am extremely stuck on this problem some one please help.

I have been given a cone with a radius of 8 metres on the base. And the cone fits 1500 tonnes of salt. (I was NOT given a height.)

what I need to figure out is if i want 3000 tonnes of salt into a cone with a radius of 12 m on the base. What is my total VOLUME and HEIGHT of the cone!?!?!

If you know this or a reason why it can't be answered please help!!! :?

1) Find a density for your salt (looks to be about 0.8 t/mÂ³, but it could vary a little depending on how its ground, what mine, etc.

compute the volume of the salt.

2) Using the salt volume and volume of a cone, compute the required height.

3) The volume of a cone depends on square of radius. If radius increase to 12/8 = 1.5X, volume increases 2.25X. So even if the 12' radius cone is the same height, it can hold 3000 t of salt with room to spare. Computing the volume, you could work backwards and determine a cone height.