Question

the curved surface area of cylinder pillar is 264 metre square and its volume is 924 cm cube find the diameter and the height of pillar​

Answer 1

Answer:

Step-by-step explanation:

we know that the curved surface area of a cylinder is 2$\pi$rh and the volume is

$\pi$(r^2)h

therefore using the same we have

$\pi r^{2}h=924 cm^{3}$ -----------  1

2$\pi$rh = 264 -----------------2

dividing equation 1 by 2 we get

r/2 = 3.5

r = 7 and diameter is = 2r = 2 x 7 = 14cm.

putting this value in equation 2 we get

2 x 22/7 x 7 x h = 264

h = 6

CHEERS MATE, PLEASE MARK BRAINLIEST

Answer 2

$\huge\underline\frak\purple{Given:-}$

The curved surface area of cylinder pillar is 264 metre square and its volume is 924 cm³

$\huge\underline\frak\purple{To\:find:-}$

Find the diameter and the height of pillar

$\huge\underline\frak\purple{Solution:-}$

$\large{\boxed{\bf{\red{Method\::1}}}}$

As we know that

Curved surface area of cylindrical pillar

$\sf 2πrh=264m^2$ ---(i)

Volume of cylinder pillar

$\sf πr^2h=924m^3$ ------(ii)

Divide (ii) by (i)

$\implies\sf \frac{πr^2h}{2πrh}=\frac{924}{264}$

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

$\implies\sf r=\frac{2×924}{264}$

$\implies\sf r=7m$

Substitute the value of r in equation (i)

$\implies\sf 2πrh=264$

$\implies\sf 2×\frac{22}{7}×7×h=264$

$\implies\sf 44h=264$

$\implies\sf h=\cancel\frac{264}{44}=6m$

$\large{\boxed{\bf{Required\:diameter=2×7=14m}}}$

$\large{\boxed{\bf{Required\:height=6m}}}$

$\large{\boxed{\bf{\red{Method\::2}}}}$

Curved surface area of cylindrical pillar

$\implies\sf 2πrh=264$

$\implies\sf πrh=\cancel\frac{264}{2}=132m^2$----(i)

Volume of cylindrical pillar

$\implies\sf πr^2h=924$

we can write in this way also

$\implies\sf r(πrh)=924$

Substitute the value of πrh from (i)

$\implies\sf 132r=924$

$\implies\sf r=\cancel\frac{924}{132}=7m$

To find the value of height , we need to substitute the value of r in equation (i)

$\implies\sf πrh=132$

$\implies\sf \frac{22}{7}×7×h=132$

$\implies\sf h=\cancel\frac{132}{22}=6m$

$\large{\boxed{\bf{Required\:diameter=2×7=14m}}}$

$\large{\boxed{\bf{Required\:height=6m}}}$

$\huge\underline\frak\green{Note}$

★Curved surface area of cylinder★

= 2πrh

★Volume of cylinder ★

= πr²h

★Total surface area of cylinder★

= 2πrh+2πr²