If a sphere’s surface area is doubled, what is the corresponding change in radius?

The radius has an increase of 41.4%

Step-by-step explanation:

We have that the surface area formula is equal to:

a = 4 * pi * r ^ 2

in this case if you assume an area of 100 and we calculate the radius it would be:

100 = 4 * pi * r ^ 2

we solve for r:

r ^ 2 = 100/4 * pi

r ^ 2 = 100 / (4 * 3.14)

r ^ 2 = 7.9617

r = 2,822

now if we double the area, that is 200:

r ^ 2 = 200 / (4 * 3.14)

r ^ 2 = 15.9236

r = 3,990

So the change of the radius would be:

3.99 / 2,822 = 1,414

That is to say that the radius has an increase of 41.4%

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.