Question

two metal cubes with sides of 4 cm are melted down and casted into a spherical ball. Find the radius of the sphere so formed.

formula for volume of cube: l x w x h
formula for volume of sphere: 4/3(pi)r^2

Answer 1

@nelsonjedi could you help me on this?

Answer 2

What is the volume of the cube?

Answer 3

64 cm^3

Answer 4

So 4/3(pi)r^2 = 64

Answer 5

lol. i was just about to say that. yeah.

Answer 6

So we need to isolate r^2...How would we do that?

Answer 7

divide by 4/3 and then divide by pi?

Answer 8

Yes divide by 4/3 first what do you get?

Answer 9

which is (pi)r^3=48

Answer 10

Now since (pi) is irrational just show it as follows r^2 = 48/pi.....Now what would r=.

Answer 11

sorry, it's r v-cubed, not squared. that stays the same tho right?

Answer 12

*r cubed

Answer 13

Yes

Answer 14

okay. so r^3=15.27887454

Answer 15

You are correct but I would prefer r = cube root of 64/(pi)

Answer 16

cube root of r and 15.27887454

Answer 17

so r = 2.481401964?

Answer 18

I guess I do not have a calculator

Answer 19

okay. thanks again. :) you've been a really big help today!

Answer 20

HAve a good one..

Answer 21

you too!