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

Question

asked Mar 26, 2021 117k views

1 Answer

Lschin · Answer 1 · 2021-03-30T01:23:32+0000

Answer:

$B_2=4\pi r^2$

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