Question

The East-Side soccer team has a cylindrical water cooler that is half full. The diameter of the cooler is 12 in. and the height is 15 in. The team's drinking cups hold 20.14 in^3.

How many drinking cups can be filled from the cooler? Use 3.14 to approximate pi, and round your answer to the nearest whole number.

A.
14

B.
42

C.
84

D.
169

Answer 1

@sleepyjess

Answer 2

Ok, my mind is really going crazy. Maybe between me and @TheSmartOne we can do this

Answer 3

lol kk jessy xD

Answer 4

@sleepyhead314

Answer 5

Find the value for volume of the cylinder first. Then divide that by 2 since the cylinder is half full

Answer 6

\[V =\pi*r^2h\]

Answer 7

don't forget \[r=d/2\]

Answer 8

okay so is 20.14 the radius?

Answer 9

Its says in the problem that the diameter = 12 in

Answer 10

oh so do 12 for the r

Answer 11

12 times 12 is 144

Answer 12

radius(r) = diameter(d)/ 2

Answer 13

so radius is 12/2

Answer 14

Which is?

Answer 15

6

Answer 16

nice so plug it into the equation i gave you above for volume. What value do you get

Answer 17

plug in 6 into r?

Answer 18

yes r is 6

Answer 19

so 6 times 6 now?

Answer 20

yes

Answer 21

kk so its 36 and then 6 times 2

Answer 22

i mean 36 times 2

Answer 23

right?

Answer 24

36 times 15

Answer 25

\[V=\pi*(36)h\]

Answer 26

What is h or height?

Answer 27

15

Answer 28

there you go so plug it all in what do you get for Volume

Answer 29

540

Answer 30

now multiply that by pi or 3.14

Answer 31

1695.6

Answer 32

Now since the container is only half full we should divide that answer by 2

Answer 33

what do you get

Answer 34

847.8

Answer 35

great now all you have to do now is divide that by 20.14(volume of each cup) and there is your answer

Answer 36

I feellike you did a similar question to this earlier, @TheDream lol

Answer 37

I definitely did just different wording and numbers :p

Answer 38

thats a big number

Answer 39

is it 42.09

Answer 40

yes but it says to round so answer is 42

Answer 41

so round 42?

Answer 42

42.09 ->42

Answer 43

so the answer is 42 thanx xD

Answer 44

no problem