Question

please solve this geometry equation with the work ! for 40 points and brainliest

Answer 1

Answer:

D. 16 times.

Step-by-step explanation:

Volume of a cylinder = π r^2 h

π r^2 h = 432

Now if the diameter is reduced by 1/4 then the radius is reduced by a fourth also.

Let the new height be H, then:

432 = π (r/4)^2 H

so π r^2 h = π(r/4)^2 H

r^2 h = r^2 H / 16

h = H/16

H = 16h.