Question

What happens to a sphere if you double the length of its radius? Check all that apply.

The sphere gets bigger.

The sphere gets smaller.

The diameter doubles.

The diameter quadruples.

The surface area doubles.

The surface area quadruples.

Answer 1

The sphere gets bigger , the diameter doubles, the surface area quadruples

Explanation:

got it right on edge

Answer 2

The right answers are: The sphere gets bigger/The diameter doubles/The surface area quadruples.

Explanation:

From Geometry, we remember that surface area and volume of the sphere are represented by:

`A_(s) = 4\pi\cdot r^(2)` (1)

`V = (4\pi)/(3)\cdot r^(3)` (2)

Where
`r` is the radius of the sphere. The diameter is two times the radius of the sphere.

If the radius of the sphere is doubled, then the sphere gets bigger, the diameter is double, the surface area is doubled and the volume is octupled. Therefore, the right answers are: The sphere gets bigger/The diameter doubles/The surface area quadruples.