Question

A sphere has radius of 42 m. If the radius is divided by 6, what is the effect on the surface area? HELP ASAP!

The surface area is multiplied by 6.
The surface area is multiplied by 36.
The surface area is divided by 36.
The surface area is divided by 6.

Answer 1

A sphere with radius
`r` has surface area
`4\pi r^2`. Divide the radius by 6 and you get a surface area of
`4\pi\left(\frac r6\right)^2=\frac4{36}\pi r^2`, so that the final surface area is divided by 36.