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Mathematics 17 Online
OpenStudy (anonymous):

A ball of diameter 20 cm fits exactly inside a cylindrical container, as shown below. The maximum volume of liquid which can be poured into the cylindrical container when empty is ________ cm3. [π=3.14]

OpenStudy (anonymous):

OpenStudy (anonymous):

question 3 is posted

OpenStudy (anonymous):

tips?

OpenStudy (anonymous):

from the two champions?

OpenStudy (anonymous):

what can you tell me about the diameter of the ball compared with the diameter of the cylinder?

OpenStudy (anonymous):

well the ball of the diamter is 20

OpenStudy (anonymous):

so

OpenStudy (anonymous):

the top of the cylinder has the same diameter

OpenStudy (anonymous):

so.... ???

OpenStudy (anonymous):

ok...... would you say they have the same radius then?

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

they each have a radius of 10

OpenStudy (anonymous):

what's formula for the volume of a cylinder?

OpenStudy (anonymous):

pie r squared times height

OpenStudy (anonymous):

However, I don't know the height?

OpenStudy (anonymous):

:(

OpenStudy (anonymous):

yes you do know the height.... look at the figure carefully...

OpenStudy (anonymous):

ehh

OpenStudy (anonymous):

circumference is the height?

OpenStudy (anonymous):

ehh

OpenStudy (anonymous):

take the ball out of the clinder... put them side by side how tall is the ball compared to the height of the cylinder?

OpenStudy (anonymous):

basically the same

OpenStudy (anonymous):

wait

OpenStudy (anonymous):

ya...

OpenStudy (anonymous):

you just made me think of something

OpenStudy (anonymous):

what's the height?

OpenStudy (anonymous):

the diameter of the circle can also serve as the height!!!!!!!!!!!!!!!!!!

OpenStudy (anonymous):

why did you have to take the ball out to see that?

OpenStudy (anonymous):

the diameter can also be vertical

OpenStudy (anonymous):

well

OpenStudy (anonymous):

I was only thinking horizontally...

OpenStudy (anonymous):

good job luisz....:)

OpenStudy (anonymous):

so the answer is

OpenStudy (anonymous):

so you got radius and you got height.... plug that into the formula....

OpenStudy (anonymous):

I got

OpenStudy (anonymous):

6280

OpenStudy (anonymous):

that wasn't too bad

OpenStudy (anonymous):

k

OpenStudy (anonymous):

naw.....

OpenStudy (anonymous):

next problem

OpenStudy (anonymous):

close shop here.... post a new one up....:)

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