Question

Given the height, h, and the volume v of a certain cylinder, alex uses the formula v ph r 5 !§ to compute its radius, r, to be 10 meters. a second cylinder has the same volume as the first cylinder, but it is 25 times taller. what is the radius of the second cylinder?

Answer 1

we know that
volume of a cylinder=pi*r²*h
r=√[V/(pi*h)]
r=10 m

A second cylinder has
V2=V-----> volume of the second cylinder
h2=25*h----> height of the second cylinder
r2----> radius of the second cylinder
r2=√[V2/(pi*h2)]----> r2=√[V/(pi*25*h)]---> r2=(1/5)*√[V/(pi*h)

r2=(1/5)*10-----> r2=2 m

the answer is
the radius of the second cylinder is 2 m