Question

2. Celeste made 6 cone-shaped ice blocks that each have a radius of 2.8 in. and a height of 7 in. She used a cylindrical container with a radius of 9 in. to fill all of the cones. What is the height of the cylindrical container? Use 3.14 to approximate pi and round your answer to two decimal places. Show your work.

Answer 1

@campbell_st

Answer 2

@mathmath333

Answer 3

@confluxepic

Answer 4

I just need someone to walk me through the steps is all

Answer 5

@sleepyjess

Answer 6

\(\pi r^2 \dfrac h3\)

Answer 7

\(\pi r^2 h\)

Answer 8

Okay one second ^-^

Answer 9

Okay so for the cones I got 160.83498667

Answer 10

Oops I cubed it

Answer 11

One second lemme redo it

Answer 12

Okay so for the cones I got 57.44106667

Answer 13

Oh well I don't know the height of the cylinder how can I find that?

Answer 14

hopefully this goes through

57.441..... is correct, for the cylinder, we know that the radius is 9, so \(\pi 9^2 h\), that has to equal the cone, now we square 9 and \(\pi\) is 3.14, so \(3.14 *81 h = 57.016667\), now we solve for h

Answer 15

Okay that makes sense

Answer 16

But how?

Answer 17

Can you solve from there? :)

Answer 18

Well, first what is 3.14*81?

Answer 19

Ohhhhhhh okaiii ^-^

Answer 20

254.34?

Answer 21

Then once you find that, divide the 57.01..... by that number

yep :)

Answer 22

57.44106667/254.34=0.22584362?

Answer 23

@sleepyjess

Answer 24

Well I'm guessing that 0.22584362 is my height so I plugged it in and got 57.44

Answer 25

Thanks!