Find volume

[sour grotto]

How do i find the volume? Thanks in advance

Here is the translation:
The picture shows a street lamp. In Figure 4, a cross-section through the middle of the lamp is embedded in a
coordinate system.

The shaded part of the figure is delimited by the graphs for the functions and g and the coordinate axes. The
two functions are given by the regulations:
Both in the picture

All measurements are in centimeters.

a) Determine the height of the lamp, see figure 4. (Done)
b) Determine at which point the graph of has a tangent with slope -1/2. (Done)

The lamp can be described by the body of revolution that appears by rotating the tinted
area 360° around the y-axis.

c) Determine the volume of the lamp. (Im at c now)

The only thing i know to start with is this (2nd Picture)

[light berry]

1. Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
2. Wait patiently for a helper to come along.
3. Once someone helps you, say thank you and close the thread with:

   +close
   

4. Feel free to nominate the person for helper of the week in #helper-nominations
5. Do not ping the mods, unless someone is breaking the rules.
6. If you're happy with the help you got here, and the server overall, you can contribute financially as well:

[sour grotto]

its 11 pm rn, so if it dont answer im sleeping. Im sorry

[hollow plover]

do you know
hmm how good are you with the english names of the stuff

washer method and disk method?

[sour grotto]

never heard it before

[hollow plover]

oh wait you dont need either

so, the thing is rotated about the y axis

you simply want the uhhhh

distance from the y axis at each segment, then thats the value of x in the 2nd image you put there

[sour grotto]

I found the height to be 50. Is that the value of x?

is that what you mean?

@hollow plover Was that what you meant?

[hollow plover]

uhhh what

oh

the height is

thats your bounds of integration

[sour grotto]

+close