Question

If the radius of a sphere is doubled , then what is the ratio of their surface area.
Express in the form of ratio.

Answer 1

Answer:

let the radius of the sphere be r

Step-by-step explanation:

First sphere

radius =r

surface area of sphere=4πr²

second sphere

radius is doubled=2r

surface area of sphere =4πr²

=4π(2r)²

=4π4r²

ratio of spheres=4πr²/4π4r²

=1/4

ratio =1:4

Answer 2

Radius of sphere - x

1st sphere

radius = r

surface area of sphere 4πr^2

Second sphere

radius is doubled 2r

surface area of sphere = 4πr

= 4π (2r)^2

= 4π4r^2