Question

the curved surface area of a cylindrical pillar is 264 m square and its volume is 924 m cube. find the diameter and height of the pillar

Answer 1

Hlo friend.. Cutiepie Here..
Nice question..

Here is ur answer :

Curved surface area of cylinder = 264 m²

$2\pi rh = 264$

$2 \times \frac{22}{7} \times r \times h = 264$


$r \times h = 264 \times \frac{1}{2} \times \frac{7}{22}$


$r \times h = 42$


$h = \frac{42}{r}$




Volume of cylinder = 924 m³


$\pi {r}^{2} h = 924$

Putting the value of h


$\frac{22}{7} \times {r}^{2} \times \frac{42}{r} = 924$


$\frac{22}{7} \times r \times 42 = 924$


$r = 924 \times \frac{1}{42} \times \frac{7}{22}$


$r = 7m$



To find Diameter,

$diameter \: \: d = 2r$
$d = 2 \times 7$


$d = 14 \: m$


To find HEIGHT,

$h = \frac{42}{r}$

$h = \frac{42}{7}$

$h = 6 \: m$



HOPE IT HELPS YOU...

REGARDS
@sunita

Answer 2

Heya!

here is your solution :)

Curved surface area of the cylinder = 264 m²

2πrh = 264 m²
r × h = 264 × ½ × 22/7
r × h = 42
h = 42 / r

Volume of cylinder = 924 m²

πr²h = 924 m²

[ Putting the value of h ]

22 / 7 × r² × 42/r = 924
22 / 7 × r × 42 = 924
r = 924 × 1/42 × 7/22
r = 7 m

For diameter =>

d = 2r
d = 2 × 7
d = 14 m

For height =>

h = 42/r
h = 42/7
h = 6 m

Hence, the height is 6 m and diameter is 14 m

Hope it helps!!