Question

Which equation represents the area of one base of a cylinder if the radius is doubled?

Answer 1

Answer:

$B_2=4\pi r^2$

Step-by-step explanation:

we know that

The area of the base of a cylinder is given by the formula

$B=\pi r^{2}$

where

r is the radius of the circular base

If the radius is doubled

then

$r=2r$

The new base area is

$B_2=\pi (2r)^{2}\\B_2=4\pi r^2$

so

$B_2=4B$

therefore

The new area of the base is 4 times the area of the original base