Question

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

A. B= = more
B. B = 3.72
C. B = 27012
D. B = 4772
Please select the best answer from the choices provided
о А

Answer 1

`B_2=4\pi r^2`

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