Question

Given the height, h, and the volume V of a certain cylinder, alex uses the formula r=√v/πh to compute its radius, r, to be 10 meters. a second cylinder has the same volume as the first cylinder, but is 25 times taller. what is the radius of the second cylinder?

a). 2/5 meter
b). 2 meters
c). 50 meters
d). 250 meters

Answer 1

`r \: = \: \sqrt{ (v)/(\pi .h) } \: = \: 10 \: m`

`{r}^(.) \: = \: \sqrt{ (v)/(25h\pi) } \: = \: (1)/(5) \sqrt{ (v)/(\pi.h) } \: = \: (10)/(5) \: m \: = \: 2 \: m`