Question

A dispenser holds 5652 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 4239 cm3 of soap remains in the dispenser?

Use 3.14 to approximate pi.


_____cm

Answer 1

@Hari_Seldon

Answer 2

@Michele_Laino

Answer 3

i think its 8 idk

Answer 4

Use the same volume of a cylinder equation.
\[\pi*r ^{2}*h\] We're going to use this equation twice, because we're going to have 2 different heights, h1 and h2.
The dispenser tells us that height is what changes, not radius. Therefore, radius is a constant.
We need to subtract the two equations, by subtracting the left side of both equations and the right sides of both equations.
The left becomes 5652-4239 and the right is pi*7.5^2 (h1 - h2).
Notice that I factored pi*7.5^2 from the difference because both heights have this constant.
Perform the subtraction, divide it by 7.5^2 * pi, and you should find that h1 - h2 (the difference in heights) equals 7.99 which is about 8cm.

Answer 5

so 8?