A solid gold cube with edge of 2" is melted down and recast as a cone with a 3" radius base. Find the height of the cone.

Question

hero · Answer

In general, if one object is re-shaped into another object, both objects will have the same volume. If you find the volume of the cube, you will have the volume of the cone. Use the formula for Volume of a Cone to find its height.

anonymous · Answer

lol i juss need the answer no disrespect ive been workinq all day

lalaly · Answer

$$\text{Volume of cube} = 2^3= 8$$
$$\text{volume of cone} =\frac{1}{3} \pi r^2 h$$
$$\frac{1}{3} \pi(3^2)(h)=8$$$$h=\frac{8 \times 3}{9 \pi}$$

hero · Answer

For the first step, I would have put 

Volume of Cube = Volume Of Cone

anonymous · Answer

so its 9pi

lalaly · Answer

thaats what i did mr hero

lalaly · Answer

no its $$\frac{8}{3 \pi}$$

hero · Answer

Yes, Lana, but not explicitly

Johny Boy, I don't know how you got 9 pi out of that.

hero · Answer

9 pi was only part of the fraction lana found for height

lalaly · Answer

oh i;m really sorryyyyyyyyy HEro

anonymous · Answer

uqh ma braINS mushed smh i been workinq all dayyy

anonymous · Answer

so my answer iss

anonymous · Answer

Hi Everyone LOL :D

hero · Answer

Hey, it's RLD!
 :D

lalaly · Answer

on ur calculator :)

anonymous · Answer

LOL