In my homework, was given an oblique cylinder with a radius of 3, slant height of 6, a slant angle of 60 degrees. I do not understand how to find volume of slanted cylinders. Can anyone help me please?
[Math] Volume of oblique cylinder
geometry
geometry
In my homework, was given an oblique cylinder with a radius of 3, slant height of 6, a slant angle of 60 degrees. I do not understand how to find volume of slanted cylinders. Can anyone help me please?
Best Answer
Oblique cylinders have the same height as regular cylinders in terms of $r$ and $h$! To convince yourself, try this, and you'll see that an oblique cylinder is just a warped right cylinder.
So if the slant angle is $60$ degrees, the height is $3\sqrt{3}$ by the $30-60-90$ triangle properties. So then the volume is $\pi r^2 h=\pi (9)^2(3 \sqrt{3})=243\sqrt{3} \pi$