Question

the curved surface area of a cylindrical pillar is 264m^2 l
and it's volume is 924m^3. Find the height of the pillar.
plss

Answer 1

Let the radius of the cylinder is r and the height be h.
So the volume of the cylinder = πr2h
and the curved surface area is 2πrh

πr2h = 924m3  (i)
and 2πrh = 264 m2 (ii)

dividing (i) by (ii), we get
πr2h2πrh=924264or r2=72or r = 7m

So putting r = 7m, in (ii), we get
2πrh = 264m2

2 ⨯22/7 ⨯7⨯ h = 264

so h = 6 m

So the height of the pillar is 6m

Answer 2

$\huge \underline \mathsf \red {SOLUTION:-}$

Given That:

• Curved surface area of cylinder = 264 m²
• Volume of cylinder = 924 m³

We know that,

• CSA of cylinder = 2πrh

So,

➠ 264 = 2 × 22/7 × r × h

➠ r × h = (264 × 7)/44

➠ r × h = 1848/44

➠ r × h = 42

➠ h = 42/r ……(1)

Now,

• volume of cylinder = πr²h

Substituting the value of h = 42/r in the volume equation, we get

➠ 924 = 22/7 × r² × 42/r

➠ 924r = 924 × 7

➠ r = 7 m

So,

Radius is 7 m and the diameter will be

= 7 × 2

= 14 m.

And the height of the cylinder

= h = 42/r

= 42/7

= 6 m

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$