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.

Answer 1

@Austin6i6

Answer 2

@freckles

Answer 3

@paki

Answer 4

what is the volume of the cylinder with just the water in it

Answer 5

@iGreen

Answer 6

@SithsAndGiggles

Answer 7

@confluxepic

Answer 8

@freckles

Answer 9

do you get it

Answer 10

so we need to find the volume of the water and find the 15*volume of single ball part
and add that together

Answer 11

first lets look at the water

Answer 12

ok

Answer 13

it has a height of 9cm
and we know we put it in the cylinder which has base radius 3
we know the formula for a cylinder is h*pi*r^2

Answer 14

use the formula to find the volume of the water part

Answer 15

so it is 254.34

Answer 16

i mean thats what i got

Answer 17

ok now lets find the volume of one single ball

Answer 18

a ball is a sphere
so you will want to use the volume formula for a sphere

Answer 19

be careful you are given the diameter of the sphere as 3cm
you will need to calculate the radius of the sphere

but don't worry that isn't too much of a headache
because half the diameter measure is equal to the measure of the radius


once you find the radius
you can then move on to use that formula for the volume of a sphere

Answer 20

so it will be 1.5cm

Answer 21

yes now plug that into the formula for the volume of a sphere
so we can find the volume for one ball

Answer 22

\[\frac{4}{3} \cdot \pi \cdot r^3 \]
this is the formula for the volume of a sphere
if you do not have it in your notes

Answer 23

i got 14.13cm

Answer 24

is that right

Answer 25

ok

Answer 26

great
now you have 15 balls
14.13cm^3+14.13cm^3+....+14.13cm^3
pretend I wrote that number 15 times :p
you can either add that number up that amount of times
or you can simply do
15*(14.13) cm^3 to find the sum total of the volume of the 15 balls

\[\text{ water volume } + \text{ total ball volume } \\ =254.34 \text{ cm } ^3 +15(14.13) \text{ cm}^3\]

Answer 27

i got a bunch a numbers when i multiplyed 14.13 15 times

Answer 28

15(14.13)= only a 5 night number

Answer 29

digit*

Answer 30

not night lol

Answer 31

lol is it 211.95

Answer 32

yes now add that result to 254.34

Answer 33

so 466.29

Answer 34

yeah

Answer 35

cm^3

Answer 36

thats the answer

Answer 37

\[466.29 cm^3 \text{ is the total volume }\]

Answer 38

thank you so much

Answer 39

np

Answer 40

can you help me with 2 more