Question

Please Help Last One!!

A dispenser holds of 5500 cm3 of liquid soap and is now full. The radius of the dispenser is 7.5 cm.

What is the difference between the height of the soap in the full dispenser and the height when 3355 cm3 of soap remains in the dispenser? Use 3.14 to approximate pi, and round your answer to one decimal place.

Answer 1

@iGreen. @sleepyhead314

Answer 2

Um..does it say what shape the dispenser is..?

Answer 3

a cylinder

Answer 4

Okay

Answer 5

Formula:

\(V = \pi r^2 h\)

Plug in what we know:

\(5500 = (3.14)(7.5^2)(h)\)

Simplify & solve for the height

Answer 6

176.625

Answer 7

Yes, now divide that to 5500 to find the height.

Answer 8

i got 0.0321136363636364

Answer 9

Not 176.625 / 5500, 5500 / 176.625

Answer 10

oh i got 31

Answer 11

Yes, now we do:

\(3355 = (3.14)(7.5^2)(h)\)

Solve for 'h'

Answer 12

how do we do that

Answer 13

Simplify \((3.14)(7.5^2)\) first.

Answer 14

176.625

Answer 15

Yes, now we have:

\(3355 = 176.625h\)

Divide 176.625 to both sides

Answer 16

to both sides of what??

Answer 17

The equation.

\(\dfrac{3355}{176.625} = \dfrac{176.625h}{176.625}\)

176.625 cancels on the right side, so just divide 3355 / 176.625

Answer 18

i got 18.

Answer 19

Yes, so now subtract 31 - 18

Answer 20

13

Answer 21

Actually it should be:

31.1394197 - 18.995046

Answer 22

Those are exact..and you should've rounded to 19 not 18 :P

Answer 23

i got 12.1443737

Answer 24

so the answer is 12

Answer 25

12.1

It says to round to 1 decimal point..

Answer 26

Yep

Answer 27

Thnx so much