Question

2

Which equation represents the area of one base of a cylinder if the radius is doubled?
A. Barona
B. B = 3.722
C. B=
D. B = 4772

Answer 1

`B_2=4\pi r^2`

see the explanation

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