The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. The height of the pillar is

Question

KollegeApply · Accepted Answer

6 m The curved surface area of a cylindrical pillar = 2$\pi$rh Therefore, 2pi"rh" = 264 Volume of a cylinder = $\pi$r2h Therefore, $\pi$r2h = 924 Hence , `(pi"r"^2"h")/(2pi"rh") = $\frac{924}{264}$ => "r"/2 = $\frac{924}{264}$ => "r" = ((924xx2)/(264))` $\Rightarrow$ r = 7 m Therefore, 2$\pi$rh = 264 => 2xx22/7xx7xx"h" = 264 => "h" = $\frac{264}{44}$ $\Rightarrow$ h = 6 m Hence, the height of the pillar is 6 m.

AChoose Your Answer