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

Answer:

They are the same

Step-by-step 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

$4\pi{r}^{2}$