Question

Medal and Fan. 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.

Answer 1

V of a cube needs to be equal to the volume of the cone. Correct?

Answer 2

I believe so

Answer 3

What is the formula for the volume of a cube?

What is the formula for the volume of a cone?

Answer 4

Cube=Lwh
Cone=pi * r^2 * l

Answer 5

Very good. Those will work but for this problem I like ....

V = s^3 for the cube
V= 1/3 r^2 h for the cone since they want to the height of the cone

Set these equation equal to each other

Answer 6

2*2*2=1/3 * 3^2 * h

Answer 7

Yes now solve for H


Vcube = s^3 = 1/3 r^2 h = Vcone

Answer 8

Okay so it is 8=3h
Then I divide by 3 to get 8 divided by 3pi = h

Answer 9

Did I do it right?

Answer 10

I made a mistake I forgot the pi

Answer 11

Very good. Those will work but for this problem I like ....

V = s^3 for the cube
V= 1/3 pi r^2 h for the cone since they want to the height of the cone

Set these equation equal to each other

2*2*2=1/3 * pi * 3^2 * h Yours was correct

Answer 12

8 * 3 / (pi * 9) = h

Answer 13

Okay. Thank you so much

Answer 14

I got

h = 0.85

Answer 15

Sorry for my typing error

Answer 16

It's okay.