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

a. the radius is increased to be 4 times the original size.

b. the radius is increased to be times the original size.

c. the radius is increased to be 2 times the original size.

d. the radius is increased to be 8 times the original size.

Question

Mathematics

Hana Aguirre

23 July, 01:15

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

a. the radius is increased to be 4 times the original size.

b. the radius is increased to be times the original size.

c. the radius is increased to be 2 times the original size.

d. the radius is increased to be 8 times the original size.

+5

Answers (2)

Know the Answer?

Maliyah Cummings · Answer 1

The radius is increased by sqrt2 times

It must be b

Josue Peterson · Answer 2

The radius is increased by / sqrt (2) times, so b must be the missing choice that we're looking for. The formula for sphere's surface area is 4*pi*r^2. When r is increased to be / sqrt (2) * r, the new surface area becomes 4*pi * (2*r^2) = 8*pi * (r^2), doubling the original surface area.