Answer:
Doubling the radius of a sphere will increase its surface area 4 times
Step-by-step explanation:
The surface area of a sphere with radius r is given by the formula:
[tex]SA = 4\pi r^2[/tex]
Doubling the radius means: r=> 2r
Putting the new radius the new surface area will be:
[tex]SA_1 = 4\pi (2r)^2\\SA_1 = 4\pi (4r^2)\\SA_1 = 4(4\pi r^2)\\SA_1 = 4(SA)[/tex]
The new surface area with double radius is 4 times of the old surface area with r.
Hence,
Doubling the radius of a sphere will increase its surface area 4 times
