The surved surface area of a cylindrical pillar is 264 `m^2` and its volume is 924 `m^3` . The height of the pillar is

Options

A. 4 m
B. 5 m
C. 6 m
D. 7m

Answer

C

Explanation

Given `2pi rh = 264 m^(2) and pi r^(2) h = 924 m^(3)`
`:. (pi r^(2)h)/(2pi rh) = (924)/(264) = (7)/(2) rArr r = ((7)/(2) xx 2) = 7 m`
`:. 2 xx (22)/(7) xx 7 xx h = 264 rArr h = (264)/(44) = 6m`