Please help
- Thread starter pancake
- Start date
Zermelo
Junior Member
- Joined
- Jan 7, 2021
- Messages
- 148
What exactly don’t you know? There are a lot of steps in solving this, that’s why you should tell us where are you stuck.
The most important step is figuring out how to get the desired volume, did you figure out what you have to do to get said volume (inbetween the shapes?)
After figuring that out, you will conclude that you need both the volume of the cylinder and the sphere. You have all the info about the cylinder, but you don’t know the spheres circumference. The only thing that you know is that “the sphere fits perfectly in the cylinder”. For this task, it doesn’t really matter if you are doing the thinking in 3d space or a 2D plane, so you should take a cross-section and instead focus on a circle and a triangle, instead of 3D bodies. When you draw the cross-section of the picture, what can you conclude about the circle and triangle? Are they touching? Where? What part does the radius play there? You have a lot of work to do, and then please share your opinions and concerns with us ?
Also, pretty sure that is a cone, not a cylinder, I guess it’s a mistake in the textbook
The most important step is figuring out how to get the desired volume, did you figure out what you have to do to get said volume (inbetween the shapes?)
After figuring that out, you will conclude that you need both the volume of the cylinder and the sphere. You have all the info about the cylinder, but you don’t know the spheres circumference. The only thing that you know is that “the sphere fits perfectly in the cylinder”. For this task, it doesn’t really matter if you are doing the thinking in 3d space or a 2D plane, so you should take a cross-section and instead focus on a circle and a triangle, instead of 3D bodies. When you draw the cross-section of the picture, what can you conclude about the circle and triangle? Are they touching? Where? What part does the radius play there? You have a lot of work to do, and then please share your opinions and concerns with us ?
Also, pretty sure that is a cone, not a cylinder, I guess it’s a mistake in the textbook