Question

a sphere is inscribed in a cylinder use complete sentences and geometric formulas to compare the surface area of the sphere and the lateral area of the cylinder​

Answer 1

They are the same

Explanation:

LA cyl =

`2\pi \: rh`

SA sphere =

`4\pi {r}^(2)`

If the sphere is inscribed in the cylinder, they have the same radius. The height of the cylinder is the diameter (Or 2× radius) of the sphere.

If you substitute 2r for h, then both formulas are

`4\pi{r}^(2)`