Question

the curved surface area of a cylinder pillar is 264cm2 and its volume is 924 m3 find the diameter of the pillar

Answer 1

Given that curved surface area of a pillar = 264.

We know that curved surface area = 2pirh.

Therefore 2pirh = 264 ------ (1).


Given that volume of a pillar = 924m^3.

We know that volume = pir^2h.

Therefore pir^2h = 924m^3   ------ (2).



On solving (1) & (2), we get

$\frac{ \pi r^2h}{2 \pi rh} = \frac{924}{264}$

$\frac{r}{2} = \frac{924}{264}$

$r = \frac{924}{264} * 2$

     r = 7m.


If radius =  7m then the diameter will be d = 2r

                                                                       = 14m.


Therefore the diameter of the pillar = 14m.


Hope this helps!