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?
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
