Question

A graduated cylinder with a radius of 3 cm contains water to a height of 9 cm. Yann adds 15 steel balls, each with a diameter of 3 cm.

What is the total volume of the contents in the cylinder after the balls are added?
Use 3.14 to approximate pi and express your answer in hundredths.

This should be 268.47 right?

Answer 1

@jim_thompson5910

Answer 2

how did you get 268.47?

Answer 3

I calculated the volume of the cylinder and then the volume of the marbles and added them.

Answer 4

Oh I forgot to multiply by 15!

Answer 5

what do you get this time?

Answer 6

466.29

Answer 7

what is the volume of the cylinder itself (without any objects inside it)?

Answer 8

Should be about 254.34

Answer 9

My answers are correct right?

Answer 10

volume of cylinder = 254.34

yes, how about the volume of 1 ball?

Answer 11

About 14.13

Answer 12

ok, so 15 of them would be ???

Answer 13

211.95

Answer 14

so

(volume of cylinder) - 15*(volume of 1 ball) = 254.34 - 15*14.13

(volume of cylinder) - 15*(volume of 1 ball) = 254.34 - 211.95

(volume of cylinder) - 15*(volume of 1 ball) = 42.39

Answer 15

But the question says "What is the total volume of the contents in the cylinder after the balls are ADDED?" Shouldn't I add the volume of the cylinder and the volumes of 15 balls and get 466.29?

Answer 16

hmm I may be thinking "what is the volume of the water"

one sec

Answer 17

Yeah I'm still thinking it's basically asking "what is the volume of the leftover space in the cylinder after the contents are added?"

Answer 18

I'll let you know what the answer was

Answer 19

I was right :) but thanks anyway

Answer 20

hmm strange question, sorry about that

Answer 21

It's fine