Question

If the two solids shown have the same height and the same cross-sectional area at every level, then what is the radius of the oblique cylinder?​

Answer 1

8

Explanation:

If the two solids have the same height and same cross-sectional area at every level, this means that the radius of the oblique cylinder is the same as the radius of the right cylinder.

Since the radius of the right cylinder is 16/2=8, this means that the radius of the oblique cylinder must also be 8.

Algebraically, the area of the cross-section is given by:

`A=\pi r^2`

If the areas of them are the same:

`A_(right)=A_(oblique)`

Then:

`\pi r_(right)^2=\pi r_(oblique)^2\\r_(right)=r_(oblique)`