WILL FAN AND MEDAL FOR ANSWER !

Adanna had a glass cylinder with a diameter of 23 cm and a height of 10 cm. She placed 240 marbles, each with a diameter of 1.2 cm, into the cylinder. She filled the rest of the cylinder with colored water.

How many cubic centimeters of colored water did she use? Use 3.14 to approximate pi and round your answer to one decimal place.

Question

WILL FAN AND MEDAL FOR ANSWER ! 

Adanna had a glass cylinder with a diameter of 23 cm and a height of 10 cm. She placed 240 marbles, each with a diameter of 1.2 cm, into the cylinder. She filled the rest of the cylinder with colored water.  
 
How many cubic centimeters of colored water did she use? Use 3.14 to approximate pi and round your answer to one decimal place.

welshfella · Answer

first find the volume of the cylinder  = 3.14*r^2*h
then find the volume of the 240 marbles 
 volume of 1 marble = (4/3)*3.14* r^3

welshfella · Answer

volume of colored water = volume of cylinder - total volume of the240 marbles

anonymous · Answer

What would be the answer ?

welshfella · Answer

note :-  radius  r = half the diameter

welshfella · Answer

I can't tell you that - if you plug in the values in the question you can work it out as I explained

chosenmatt · Answer

we are here to guide you to the answer not to tell you the answer :) and make sure you understand what we are showing you :)

igreen · Answer

First find the volume of the cylinder.

$V = (3.14) (11.5)^2 (10)$

Simplify that @princess_hannahleigh

welshfella · Answer

Volume of cyl = 3.14 * 11.5^2 * 10
volume of 24 marbles = (4/3) *3.14* (0.6)^3

anonymous · Answer

$$V_{cylinder}=(240 \times V_{marble})+V_{water}$$

anonymous · Answer

$$V_{cylinder}=\pi r^2h$$$$V_{sphere}=\frac{4}{3}\pi r^3$$

igreen · Answer

$V_{water} = V_{cylinder} - V_{marbles}$

welshfella · Answer

oops   Volume of the marbles is  240  times  what I wrote!!

anonymous · Answer

Use the formulae everyone has stated and attempt the question

igreen · Answer

@princess_hannahleigh 

Multiply 3.14 * 11.5 * 11.5 * 10

chosenmatt · Answer

i gave you a medal @welshfella nice job on explaining :)

anonymous · Answer

4,152.65 @iGreen

igreen · Answer

Yes, now we find the volume of each marble and multiply by 240.

diameter = 1.2

raidus = 1.2 / 2 = 0.6

Volume of a Sphere:

$V = \dfrac{4}{3} \pi r^3$

$V = \dfrac{4}{3} (3.14)(0.6^3)$

Now multiply 4/3 * 3.14 * 0.6 * 0.6 * 0.6

igreen · Answer

Can you do that? @princess_hannahleigh

anonymous · Answer

0.90432

igreen · Answer

Yes, now multiply by 240

anonymous · Answer

217.0368

igreen · Answer

Yep, now subtract 4,152.65 - 217.0368

anonymous · Answer

3,935.6132

igreen · Answer

Yes, that's how much water was in the cup.

igreen · Answer

Well, it says to round it to one decimal place, so we round to 3,935.6

anonymous · Answer

So the answer is 3,935.6

igreen · Answer

Yep

anonymous · Answer

Thanks so much!